But Rafael endured a game to forget against Jose Mourinho's men...
David De Gea - 7/10
Pulled off some good saves and was only beaten from a corner, which was the result of poor defending.
Luke Shaw - 7.5/10
There are no two ways about it: this was Shaw's first real performance of note for Manchester United. The 19-year-old raided forward with real intensity and looked solid defensively, as well.
Chris Smalling - 6.5/10
A much-improved performance after his return from injury. Still made mistakes but looked stronger in the air and in the tackle.
Marcos Rojo - 6.5/10
Similarly, Rojo made no notable errors and kept up well with a very fast-paced encounter.
Rafael - 5/10
Booked for a foul on Eden Hazard in the first half and lost Didier Drogba for the goal. A bad week for Rafael.
Danny Blind - 6.5/10
Protected the back four well as United matched Chelsea in midfield for the majority of the 90 minutes.
Angel Di Maria - 6.5/10
Did his job defensively, helping to stifle Cesc Fabregas (except for the corner the Spaniard took for Drogba's goal) but could have offered more going forward in the first half. Kept at it after the break, though, and won the free kick for the equaliser.
Marouane Fellaini - 8/10
Could Fellaini flourish under Louis van Gaal? And was David Moyes using him all wrong? The £27.5 million man looked a tank against the Blues, making it two strong performances inside a week from the Belgian. His saved header led to Robin van Persie's equaliser.
Juan Mata - 6/10
A disappointing display from the Spaniard. He did very little that could be remembered.
Adnan Januzaj - 7/10
Unlike Mata, young Januzaj produced a strong display against the league leaders. His passing was intricate and his runs caused problems for the Chelsea defence. Some wasteful shooting was his main flaw.
Robin van Persie - 6.5/10
Could have done better on the line for Drogba's headed goal and made a few errors throughout the game but made up for it with a great last-gasp equaliser. And how the Dutchman celebrated.
James Wilson - 6/10
Van Gaal will have hoped Wilson would be his wildcard but the 18-year-old looked too out of his depth to make an impact.