Brighton & Hove Albion forward Alireza Jahanbakhsh scored with a brilliant bicycle kick in the second half to cancel out Chelsea defender Cesar Azpilicueta's opener in an entertaining 1-1 draw at the Amex Stadium.
The result helped Brighton end a run of nine straight league defeats by Chelsea stretching back to 1983 while Frank Lampard's side were left to rue the missed chance to seal back-to-back league wins for the first time since November.
Left-back Azpilicueta celebrated his 100th start as Chelsea captain with the opening goal, guiding the ball home from close range in the 10th minute after Tammy Abraham's shot was blocked near the goal line by Brighton's Aaron Mooy following a corner.
Substitute Jahanbakhsh then produced a goal for the highlight reels with six minutes left on the clock, with a superb overhead kick that flew into the bottom corner giving Chelsea goalkeeper Kepa Arrizabalaga no chance.
Arrizabalaga had earlier denied Republic of Ireland striker Aaron Connolly, a half-time substitute, who turned and shot from close range while Chelsea also had several chances to close out the game.
Earlier, Chelsea had stepped off the gas pedal following their goal and nearly paid the price before the break but Arrizabalaga produced another acrobatic save to deny Leandro Trossard.
Struggling Aston Villa picked up their second away win of the Premier League season, securing three vital points in their first league win at Turf Moor since 1936.
Villa thought they had taken an 11th-minute lead through a diving header from Jack Grealish but a VAR review found that Wesley's heel was marginally offside during the move and the goal was over-turned.
It was Wesley who did open the scoring though in the 23rd -- the impressive Grealish finding him in the box and the Brazilian swivelled and fired past Nick Pope to give Villa a deserved lead.
Burnley were unusually sloppy in defence and lacking their usual spirit of work-rate and it was no shock when Grealish doubled Villa's lead four minutes before the break, finishing off a lovely passing move with a confident curling finish.
Sean Dyche made a double substitution at the break with Jay Rodriguez and Johann Berg Gudmundsson introduced and that had the desired effect with the Clarets much more positive.
Rodriguez and Chris Wood both missed good chances before Wood finally found the target with a back post header from an Ashley Westwood cross in the 80th minute but Burnley were unable to force an equaliser.
Villa's former Burnley goalkeeper Tom Heaton injured himself attempting to keep out the goal and was carried off the pitch on a stretcher.