tête à tête
A personal or private discussion between two people. It is hoped that the president's tête à tête with the prime minister will be more constructive than a full meeting with both cabinets.
See also: tête
a ˌtête-à-ˈtête(from French) a private conversation between two people: When I last saw her, she was having a tête-à-tête with Maria. ♢ I hate to interrupt your tête-à-tête, but could somebody answer the phone?
The meaning of the French phrase is ‘head-to-head’.