KANSAS CITY, Mo. — If anyone says La Salle is making its first trip to the round of 16 in a very, very long time, don't believe it.

The last time the upstart Explorers got this far, the NCAA tournament didn't even have a round of 16.

But now it does and the little school from Philadelphia is there.

Tyrone Garland banked home a scooping layup with 2 seconds left and the 13th-seeded Explorers beat Mississippi 76-74 on Sunday, making this their deepest run since they advanced to the championship game of the 24-team field in 1955.

"Time was running out, and I felt like I could get the drive," Garland said. "When I cut, I just saw an opening and took the ball up."

By inches, the ball off the hands of the 6-foot-1 Garland cleared the outstretched hands of Reginald Buckner, the Rebels' muscular 6-9 center.

"He blocked my shot a couple times during the game, but I ain't scared of nobody," Garland said. "I went in there and knew if I could get an open shot, I could make it."

In the regional semifinals in Los Angeles on Friday, the Explorers will meet ninth-seeded Wichita State.

Ramon Galloway had 24 points for the last remaining team in the tournament from the Atlantic 10. The Explorers (24-9) were playing their third game in five days after starting the tournament in the First Four on Wednesday in Dayton, Ohio.

But they showed no fatigue.

"We're pretty young. It just feels like AAU all over again. We play a game, go to sleep, wake up, play another game," said Galloway. "We're pretty excited for the whole trip."

No. 12 Ole Miss (27-9) led 74-72 with 1:58 left but failed to reach the regional semifinals for the first time since 2001.

"I've always said that winning teams make winning plays, and to La Salle's credit, they made the winning plays down the stretch," Ole Miss coach Andy Kennedy said.

The Rebels had a height advantage over La Salle's four-guard lineup and outrebounded the Explorers 40-30 but failed to make their zone defense work.

"We couldn't contain them off the dribble," Kennedy said. "We couldn't contain them even in a zone."

After Tyreek Duren's two foul shots tied it 74-all at the 1:07 mark, Mississippi star and team lightning rod Marshall Henderson missed an off-balance bank shot that would have given the Rebels the lead.

Henderson had 21 points in a game with 11 lead changes.

Duren had 19 points for La Salle and Garland had 17.

Murphy Holloway had 14 points for Mississippi, which fell one win shy of breaking the school record. Jarvis Summers had 12 and Nick Williams had 10 for the Rebels, who were a miserable 10 for 21 from the foul line.

In the frantic final seconds, Mississippi's LaDarius White missed from the top of the key and the ball scooted out of bounds while everybody went for the rebound.

The Rebels were given possession and Henderson's off-balance shot failed to draw iron. Before he could launch another try, the buzzer sounded, giving La Salle possession with 33.2 seconds left even though Henderson pleaded with an official, saying, "He took my hand off."

"I know I was fouled and the ref knows I was fouled but he said he's not calling a foul with 1 second left (on the shot clock)," Henderson said later. "I drove in, got the rebound and when I went up, he took my whole left hand out and I was like, `That's a foul.'"

On their last possession, the Explorers brought the ball up court, with most everybody expecting Galloway to take the shot. But Garland worked his way inside and threw up his game-winner over Buckner.

"We didn't finish on a strong note, we finished on a low note," Henderson said. "We're going home and it stinks because I know a lot of people that are around are going to pat us on the back and tell us we did a great job but the way I played there at the end I feel that I was totally a disgrace to my teammates and let them down."

Summers missed a desperation heave for Ole Miss.

Galloway, a 6-3 guard and the Explorers' lone senior on the starting five, played the entire 20 minutes of the first half and drilled 5 of 8 3-pointers while scoring 19 points.

La Salle coach John Giannini rejected any suggestion that this victory represents college hoops parity.

"Parity makes it sound like everyone's average," he said. "Everybody's good."

Also on HuffPost:

Loading Slideshow...
  • Creighton vs. Duke

    Jahenns Manigat #12 of the Creighton Bluejays goes up for a shot in front of Quinn Cook #2 of the Duke Blue Devils in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Elsa/Getty Images)

  • Creighton vs. Duke

    Seth Curry #30 of the Duke Blue Devils grabs a loose ball against Avery Dingman #22 of the Creighton Bluejays in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Rob Carr/Getty Images)

  • Creighton vs. Duke

    Tyler Thornton #3 of the Duke Blue Devils makes a three-pointer at the halftime buzzer against the Creighton Bluejays during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Rob Carr/Getty Images)

  • Creighton vs. Duke

    Head coach Mike Krzyzewski of the Duke Blue Devils calls out in the first half against the Creighton Bluejays during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Elsa/Getty Images)

  • Creighton vs. Duke

    Mason Plumlee #5 of the Duke Blue Devils with the ball in front of Gregory Echenique #00 of the Creighton Bluejays in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Elsa/Getty Images)

  • Creighton vs. Duke

    Quinn Cook #2 of the Duke Blue Devils reacts in the first half while taking on the Creighton Bluejays during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Rob Carr/Getty Images)

  • Creighton vs. Duke

    Austin Chatman #1 of the Creighton Bluejays brings the ball up against Quinn Cook #2 of the Duke Blue Devils in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Rob Carr/Getty Images)

  • Creighton vs. Duke

    Jahenns Manigat #12 of the Creighton Bluejays shoots over Seth Curry #30 of the Duke Blue Devils in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Elsa/Getty Images)

  • Creighton vs. Duke

    Ethan Wragge #34 and Ryan Kelly #34 of the Duke Blue Devils battle for a loose ball in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Rob Carr/Getty Images)

  • Creighton vs. Duke

    Grant Gibbs #10 of the Creighton Bluejays dunks the ball in the first half while taking on the Duke Blue Devils during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Elsa/Getty Images)

  • Creighton vs. Duke

    Avery Dingman #22 of the Creighton Bluejays drives on Seth Curry #30 of the Duke Blue Devils in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Wells Fargo Center on March 24, 2013 in Philadelphia, Pennsylvania. (Photo by Rob Carr/Getty Images)

  • Illinois vs. Miami

    Durand Scott #1 of the Miami Hurricanes shoots against Joseph Bertrand #2 of the Illinois Fighting Illini in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Illinois vs. Miami

    Sam McLaurin #0 of the Illinois Fighting Illini attempts to save a ball against Tonye Jekiri #23 of the Miami Hurricanes in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Illinois vs. Miami

    Head coach John Groce of the Illinois Fighting Illini reacts in the first half against the Miami Hurricanes during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Illinois vs. Miami

    Reggie Johnson #42 of the Miami Hurricanes reacts after loosing the ball in the first half against the Illinois Fighting Illini during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Illinois vs. Miami

    Tracy Abrams #13 of the Illinois Fighting Illini shoots over Shane Larkin #0 of the Miami Hurricanes in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Illinois vs. Miami

    Brandon Paul #3 of the Illinois Fighting Illini shoots over Reggie Johnson #42 of the Miami Hurricanes in the second half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Illinois vs. Miami

    Tyler Griffey #42 of the Illinois Fighting Illini looks on as the Miami Hurricanes huddle in the second half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Illinois vs. Miami

    Kenny Kadji #35 of the Miami Hurricanes shoots over Nnanna Egwu #32 of the Illinois Fighting Illini in the second half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Illinois vs. Miami

    Brandon Paul #3 of the Illinois Fighting Illini looks to shoot against the defense of Shane Larkin #0 and Julian Gamble #45 of the Miami Hurricanes in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Illinois vs. Miami

    Nnanna Egwu #32 of the Illinois Fighting Illini shoots over Julian Gamble #45 of the Miami Hurricanes in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Illinois vs. Miami

    The Illinois Fighting Illini band performs in the first half against the Miami Hurricanes during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Illinois vs. Miami

    Brandon Paul #3 of the Illinois Fighting Illini goes up against Julian Gamble #45 of the Miami Hurricanes in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Illinois vs. Miami

    The Illinois Fighting Illini cheerleaders perform in the first half against the Miami Hurricanes during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Illinois vs. Miami

    Shane Larkin #0 of the Miami Hurricanes drives against Sam McLaurin #0 of the Illinois Fighting Illini in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Minnesota vs. Florida

    Casey Prather #24 of the Florida Gators goes up against Maurice Walker #15 of the Minnesota Golden Gophers in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Minnesota vs. Florida

    Rodney Williams #33 of the Minnesota Golden Gophers goes up against Erik Murphy #33 of the Florida Gators in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Minnesota vs. Florida

    Scottie Wilbekin #5 of the Florida Gators drives against Andre Hollins #1 of the Minnesota Golden Gophers in the seocnd half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Minnesota vs. Florida

    Andre Hollins #1 of the Minnesota Golden Gophers drives past Scottie Wilbekin #5 of the Florida Gators in the second half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Minnesota vs. Florida

    Head coach Billy Donovan of the Florida Gators talks to his team in the second half against the Minnesota Golden Gophers during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Minnesota vs. Florida

    Mike Rosario #3 of the Florida Gators and Elliott Eliason #55 of the Minnesota Golden Gophers vie for posession in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • Minnesota vs. Florida

    Andre Hollins #1 of the Minnesota Golden Gophers drives past Scottie Wilbekin #5 of the Florida Gators in the second half during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Minnesota vs. Florida

    The Minnesota Golden Gophers bench reacts in the second half against the Florida Gators during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Minnesota vs. Florida

    Austin Hollins #20 of the Minnesota Golden Gophers talks to head coach Tubby Smith in the second half against the Florida Gators during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Ronald Martinez/Getty Images)

  • Minnesota vs. Florida

    Casey Prather #24 of the Florida Gators shoots against the Minnesota Golden Gophers during the third round of the 2013 NCAA Men's Basketball Tournament at The Frank Erwin Center on March 24, 2013 in Austin, Texas. (Photo by Stephen Dunn/Getty Images)

  • North Carolina vs. Kansas

    James Michael McAdoo #43 of the North Carolina Tar Heels reacts in the first half against the Kansas Jayhawks during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Jamie Squire/Getty Images)

  • North Carolina vs. Kansas

    Ben McLemore #23 and Travis Releford #24 of the Kansas Jayhawks walk on the court in the first half against the North Carolina Tar Heels during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Jamie Squire/Getty Images)

  • North Carolina vs. Kansas

    The mascot and cheerleaders for the Kansas Jayhawks perform against the North Carolina Tar Heels during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Travis Releford #24 of the Kansas Jayhawks reacts in the first half against the North Carolina Tar Heels during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Jamie Squire/Getty Images)

  • North Carolina vs. Kansas

    P.J. Hairston #15 of the North Carolina Tar Heels drives for a shot attempt against Jeff Withey #5 of the Kansas Jayhawks during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Jamie Squire/Getty Images)

  • North Carolina vs. Kansas

    James Michael McAdoo #43 of the North Carolina Tar Heels attempts a shot in the first half against Jeff Withey #5 of the Kansas Jayhawks during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Ben McLemore #23 of the Kansas Jayhawks drives for a shot attempt in the first half against Reggie Bullock #35 of the North Carolina Tar Heels during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Kevin Young #40 of the Kansas Jayhawks fights for a rebound against James Michael McAdoo #43 of the North Carolina Tar Heels in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Dexter Strickland #1 of the North Carolina Tar Heels huddles up with teammates against the Kansas Jayhawks during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Members of the band for the North Carolina Tar Heels perform against the Kansas Jayhawks during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Kevin Young #40 of the Kansas Jayhawks reacts in the first half against the North Carolina Tar Heels during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Jamie Squire/Getty Images)

  • North Carolina vs. Kansas

    The Kansas Jayhawks huddle prior to playing against the North Carolina Tar Heels during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Head coach Roy Williams of the North Carolina Tar Heels reacts as he coaches against the Kansas Jayhawks in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • North Carolina vs. Kansas

    Head coach Bill Self of the Kansas Jayhawks greets head coach Roy Williams of the North Carolina Tar Heels prior to coaching against each other during the third round of the 2013 NCAA Men's Basketball Tournament at Sprint Center on March 24, 2013 in Kansas City, Missouri. (Photo by Ed Zurga/Getty Images)

  • Temple vs. Indiana

    Will Cummings #2 of the Temple Owls drives with the ball against Yogi Ferrell #11 of the Indiana Hoosiers in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at UD Arena on March 24, 2013 in Dayton, Ohio. (Photo by Joe Robbins/Getty Images)

  • Temple vs. Indiana

    Cody Zeller #40 of the Indiana Hoosiers handles the ball against Jake O'Brien #22 of the Temple Owls in the first half during the third round of the 2013 NCAA Men's Basketball Tournament at UD Arena on March 24, 2013 in Dayton, Ohio. (Photo by Jason Miller/Getty Images)