Antonio Conte's side failed to restore the seven-point gap between itself and second-placed Tottenham as goals from Marcus Rashford and Ander Herrera gave Jose Mourinho the bragging rights over his former employers.
Chelsea mustered just one shot in the first half against the Red Devils, their lowest total in a Premier League first half this season.
With Tottenham Hotspur in their tail, Chelsea will feel the pressure as only four points separate the two top sides.
Manchester United put a dent in Chelsea's title procession on Sunday with a 2-0 win against the Blues at Stamford Bridge. "The league is open and we have a 50 per cent probability to win the league".
"I think Marcus is a great player", Italy full-back Darmian said.
The England worldwide has scored nine goals in 43 appearances this season after bursting onto the scene at United with eight goals in 18 games under Louis van Gaal last term. "Sometimes for a striker, it is normal there is a not as good period [scoring goals] but I hope he continues like this, like against Chelsea, because it helps the team to reach the objective".
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There is no upside for that kind of doubt to be expressed by those who actually have to figure out how to right the ship. The last day of the regular season is the final day teams can sign a player and have them eligible for the playoffs.
The self-styled Special One stopped short of hailing the victory as the best of his Manchester United reign.
United were also knocked out of the FA Cup quarter-finals by Chelsea last month and avenging those painful losses kept alive their bid to qualify for the Champions League via a top four finish. "I think we didn't play a good game and United deserved to win the game because they showed more desire, motivation and ambition", he said. "I don't think a lot of people expected it but we did".
"That game was totally controlled when we played with 11 players, and only the decision that made us play with 10 players gave Chelsea a chance to be dominant", he said.
Earlier, Roberto Firmino scored a winning goal for the second straight game as Liverpool beat West Bromwich Albion 1-0.
"We have to go again. If win our games it doesn't matter what Spurs do".
Chelsea looked to be strolling to the title just a few weeks ago - but a sudden stumble, including the home defeat by struggling Crystal Palace, has held them back.
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