Relive how the 90 minutes of action unfolded with Sports Mole's live text coverage below.
The Blues booked a place in the semi-finals of the Europa League last week and attention no turns back to the top flight.
Results went Chelsea's way over the weekend as top-four rivals Tottenham Hotspur, Arsenal and Manchester United all suffered defeats, meaning that a point today will be enough to lift them into third place.
Burnley, meanwhile, may possibly need one more point from their remaining four matches to make certain of safety.
STARTING XI: Kepa; Azpilicueta, Luiz, Christensen, Emerson; Kante, Jorginho, Loftus-Cheek; Hudson-Odoi, Higuain, Hazard
SUBS: Caballero, Barkley, Pedro, Kovacic, Giroud, Zappacosta, Cahill
STARTING XI: Heaton; Lowton, Tarkowski, Mee, Taylor; Hendrick, Westwood, Cork, McNeil; Barnes, Wood
SUBS: Hart, Gudmundsson, Brady, Gibson, Ward, Vydra, Long
CHELSEA SUBS: Caballero, Barkley, Kovacic, Giroud, Zappacosta, Cahill
BURNLEY SUBS: Hart, Gudmundsson, Brady, Gibson, Ward, Vydra, Long
All four goals were scored in the opening 24 minutes of the match, as Jeff Hendrick opened the scoring for the visitors with a volley from outside of the box, which was cancelled out by goals from N'Golo Kante and Gonzalo Higuain in the space of six minutes.
The Blues were denied all three points by a close-range finish from Ashley Barnes, though, failing to truly trouble opposition keeper Tom Heaton in the remainder of the contest.