Manchester City are all but assured of a place in next season's Champions League.
They drew 1-1 at Swansea in the Premier League.
United's final day game with Bournemouth was abandoned after a suspect package was found – and will be rearranged as soon as possible.
They'd have to win that rearranged game by more than 18 goals to overtake City.
Elsewhere, Southampton will play Europa League football next season.
Their 4-1 win against Crystal Palace means they're guaranteed to finish in the top six of the Premier League.
West Ham lost 2-1 at Stoke but will also qualify for the European competition – if Manchester United win the FA Cup final.
Arsenal leapfrogged rivals Tottenham to finish second.
Arsene Wenger's side beat bottom club Aston Villa 4-0 while Spurs suffered a 5-1 hammering at relegated Newcastle.
John Terry has told Chelsea fans he wants to stay at the club following their final game of the season.
He addressed fans on the pitch after their 1-1 draw with Leicester.
Managerless Everton won 3-0 against Norwich.
Watford versus Sunderland finished 2-2, and it finished 1-1 between West Brom and Liverpool.
