Story highlights Trump and Romney have had a rocky past

The three men had chocolate cake for dessert

Washington (CNN) If it was New Year's Eve, they could have spent $888 per head on a tasting menu. But instead, President-elect Donald Trump met potential secretary of state nominee Mitt Romney Tuesday at Jean Georges, a three-Michelin star New York City restaurant inside his Trump International Hotel.

Instead of being joined by their wives, which was the original expectation, Republican National Committee Chairman Reince Priebus was their only other guest. He was tapped by Trump to become his chief of staff when he enters the White House in January.

The three men ordered a young garlic soup with thyme and sautéed frog legs, and diver scallops with caramelized cauliflower and caper-raisin emulsion as appetizers, according to a readout to reporters.

Priebus and Trump ordered a prime sirloin with citrus glazed carrots for their main course and Romney ordered lamb chops with a mushroom bolognese sauce. All three of the men had a chocolate cake for dessert.

CNN asked Trump after the dinner if Romney will be the next secretary of state, to which he responded, "Well, we're going to see what happens."