Jennifer Lopez, Bradley Cooper's Private Dinner: New Details!

Credit: AP Photo/Peter Kramer

Was Jennifer Lopez and Bradley Cooper's Per Se dinner a date, per se?

"It was a date," an insider tells Us Weekly of the unexpected duo's private , two-hour meal Saturday at one of NYC's most expensive (and romantic) restaurants, where the $275-per-person price fixe is popular.

Cooper, 36, "has been after her for ages -- calling her for a while," the insider adds. (Cooper and Lopez, 42, were photographed gabbing together at a 2010 Fashion show.)

Will they meet again? "We'll see," the insider says.

The New York Post's Page Six reports that newly-single Lopez "turned up in a white bandage dress looking ridiculously hot" for the meal, and she and Cooper seemed to be "heavily flirting" as they chowed down.

PHOTOS: Hot! See Bradley Cooper shirtless

(Lopez and Marc Anthony announced the end of their seven-year marriage in July.) A rep for Cooper (who split with Renee Zellweger in March) said the meal was "for business regarding a project."