A late Juan Mata goal was enough to hand Manchester United their fifth loss of the Premier League season.
An ugly end to the game saw Rafael see red for kicking out at David Luiz, further spoiling the title-winning Red Devils' "victory lap" end to the season.
Here are the player ratings for Sir Alex Ferguson's side on an afternoon they would sooner forget.
Anders Lindegaard: 5
Not the most assured performance from a man whose long-term place at United is in doubt.
The Dane couldn't be blamed for Mata's winner, but he flapped at a number of crosses during game, his confidence clearly lacking.
The Brazilian clearly lost his cool in the moments following Chelsea's goal, his naive kick out at David Luiz a release of some pent-up frustration.
A shame because he was a positive influence going forward, and kept Victor Moses nicely under wraps during the game.
Jonny Evans: 6
Didn't keep a tight enough leash on Demba Ba for most of the first half, and was lucky that the striker wasn't able to put away some decent chances.
The Northern Irishman hasn't played much in the past couple of months and it showed, but he improved over the course of the second half.
Nemanja Vidic: 7
Not the Serbian's best game at the heart of the United back line, but he has always had high standards.
He was typically strong in the air, but, like Evans, could possibly be faulted for gifting Blues players a little too much space inside his own box.
Patrice Evra: 6
One of the Frenchman's better games, especially considering the trouble Juan Mata has caused him in previous games.
He did his best going forward, but his main contributions were defensive. Recovered quickly following an apparent injury late in the first half.
Phil Jones: 6
The versatile youngster wasn't as busy Sunday afternoon as he usually is, keeping mostly within his own half to make some robust challenges.
When he did get forward, he spurned a great chance when he overhit a pass to Robin van Persie during a two-on-one break.
The Brazilian was a little rough around the edges against the Blues, but was actually quite effective in the box-to-box role.
His distribution to the flanks to Ryan Giggs and Antonio Valencia was fine, and he wasn't to blame for the lack of service from out wide.
Tom Cleverley: 5
Sir Alex made a bold move playing Tom Cleverley in the hole behind Robin van Persie, and for the most part, the experiment didn't pay off.
He was frozen out of the game by Ramires and the advancing David Luiz, his influence on the game virtually non-existant as the Red Devils struggled in the final third of the pitch.
Antonio Valencia: 5
The Ecuadorian was a fair match for Ashley Cole down the right flank, but let himself down yet again with his disappointing end product.
With numerous better options left out, Sir Alex's continued selection of the out-of-form winger is a little baffling.
Ryan Giggs: 7
His pace may have gone, but the Welsh veteran still managed to create enough space to deliver some fine balls into van Persie.
He was involved in the Red Devils' best passing sequences, combining with Anderson and Evra down the left.
Robin van Persie: 6
The Dutch hitman had several half chances to break the deadlock, but couldn't get the better of Petr Cech.
He sliced one volley wide, while heading straight at the Chelsea keeper in another instance.
Wayne Rooney: 6
The English forward was only given 20 minutes—not enough time for him to make any real impact on the game.
Alex Buttner: 6
Many United fans have cried out for Buttner to be used more on the left wing. Shame he only had 20 minutes there on Sunday.
The Mexican forward's exclusion from the starting lineup was disappointing considering his excellent record against the Blues.
Who was United's best player on Sunday? Who was particularly disappointing?