Press Conference was a game played on both the British and American editions of Whose Line.
One performer (frequently Colin Mochrie) would take the role of a celebrity giving a press conference, with the other three performers asking him questions. The catch was that the "celebrity" would not know who they were, while the reporters would.
The fame of the celebrity was often for a bizarre event, such as becoming the first person to have sex in space. Considerable humour came about, therefore, as the celebrity gave inappropriate answers and was also (much as in Newsflash) asked questions which they could not adequately answer with their lack of information.