03/28/2012 06:32 pm ET

Cory Monteith, Lea Michele's New York Dinner Date (PHOTOS)

Cory Monteith and Lea Michele‘s off screen relationship is really heating up. After heading out of New York City on Sunday, the Glee guy and gal hit the West Coast where they were seen on Tuesday night at Hollywood hotspot SoHo House getting rather cozy.

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