From Longman Dictionary of Contemporary Englishcup tieˈcup tie noun [countable] DSa game between two teams in a competition in which only the winning team will play any more games Saturday’s FA Cup tie against Spurs
Examples from the Corpus
cup tie• United lit the fuse for a quality cup tie by giving everything they had against the big boys from the premier league.• They lead the first division by one point from Gloucester, so it's going to be some cup tie.• Oxford's cup hopes are on ice, the cup tie with Sunderland at Manor was called off this afternoon. 