Courteney Cox, Will Arnett Date Night? (Update: No)

update_graphic_red_bar12:51 PM PT -- No romance here people ... sources close to the couple tell us the two are "just friends" and had a nice platonic dinner last night.

Too bad ... they'd be cute together. update_grey_gray_barCourteney Cox and Will Arnett broke bread and lobster claws Tuesday night, and there seems to be a little dating smoke.

The famous couple arrived together at The Palm restaurant in Bev Hills and had a long dinner.

At around 11 PM, Courteney left alone and got in her SUV, which took off but stopped 20 yards down the road. Will then surfaced and began walking toward the SUV and then beelined it back inside The Palm.

We're told Will eventually left by Uber.

The two have been friends for a long time. He split with Amy Poehler a few years back, and Courteney recently split from her fiance.