Chelsea failed to go up to third place, following a 2-2 draw with Burnley on Monday night.
A win for Maurizio Sarri’s men, would have seen them leapfrog top-four ribals Arsenal and Tottenham Hotspur.
The Blues rallied back to lead 2-1 with goals from N’Golo Kante and Gonzalo Higuain, after Jeff Hendrick gave the visitors a shock lead.
Burnley equalized before the break, with Ashley Barnes firing past Kepa Arizzabalaga from a set-piece and there were no goals in the second half.
Chelsea now sit in fourth place with 67 points, the same with Spurs and one ahead of Arsenal, who have an oustanding game against Wolves on Wednesday.