Alexis Sanchez's scrambled extra-time winner secured Arsenal an FA Cup final date with Chelsea - and ensured Manchester City manager Pep Guardiola will end a season without a trophy for the first time in his coaching career.
Chelsea maintained a seven-point advantage over Tottenham at the top of the Premier League with a hard-fought victory over Manchester City.
Manchester City are out of the Champions League after Monaco struck late to seal a thrilling away-goals victory, which ended 6-6 on aggregate.
Manchester City cruised into the FA Cup quarter-finals after fighting back to beat much-changed Championship promotion hopefuls Huddersfield in their fifth-round replay.
Manchester United boss Louis van Gaal says he is unfazed by Pep Guardiola's desire to manage in the Premier League.
Bayern Munich's progress to the semi-finals of the Champions League was "about life or death", according to manager Pep Guardiola.