Burnley thwarted Chelsea's hopes of going third with a 2-2 draw at Stamford Bridge.
All the goals came in a frantic first 24 minutes. Jeff Hendrick volleyed Burnley ahead in the eighth minute, but less than seven minutes later Chelsea led.
Eden Hazard picked out N’Golo Kante to level first-time, before Gonzalo Higuain struck his first goal since 3 March.
But back came Burnley. From a 24th-minute free-kick Chris Wood flicked on to Ashley Barnes to level.
Chelsea put Burnley under late pressure but could not fashion a clear-cut chance and so only rise to fourth in the league table.
They are on 67 points, behind Tottenham Hotspur on goal difference and one clear of Arsenal.
Burnley are 15th on 40 points, nine off the relegation zone.
Chelsea: 28 April v Man Utd (A)
Burnley: 28 April v Man City (H)