Jordan Beyer’s first-half mistake on his return from injury proved costly as Jeffrey Schlupp handed Roy Hodgson’s side the lead, before Tyrick Mitchell’s late second.
The Clarets were in control of proceedings in the most part, producing 17 shots on goal, but were unable to convert that pressure into goals.
Here’s how Burnley’s players rated:

. James Trafford - 6/10
Nothing he could have done about either goal. Didn’t have a lot to do, but was crumpled by a crunching challenge. Photo: Nathan Stirk

. Vitinho - 7/10
Desperately tried to scramble back to deny Schlupp for Palace’s opener, but it was all in vain. Contributed well in attack. Photo: Nathan Stirk

. Jordan Beyer - 5/10
It was his error on his return from injury that led to Palace’s goal, outmuscled by Jordan Ayew before slipping. Photo: George Wood

. Dara O'Shea - 6/10
Clearance for Palace’s second wasn’t the best but he defended well in the main and helped set up attacks from deep. Photo: Nathan Stirk

. Charlie Taylor - 7/10
Produced some pinpoint crosses into the box and clever clipped balls in behind. Defended solidly too. Photo: Nathan Stirk

13. SUB: Wilson Odobert - 6/10
For Koleosho, 78 Saw his late cross/shot sting the palms of Sam Johnstone at his near post, but otherwise didn’t get much of a chance. Photo: Matt McNulty

14. SUB: Mike Tresor - 6/10
For Beyer, 86 Tried to make things happen in the final stages, but he was a little careless in possession which added to the frustration. Photo: Matt McNulty

15. SUB: Jacob Bruun Larsen - 6/10
For Gudmundsson, 90 Had no real time to have an impact on the game having been brought on so late, as Burnley chased a late equaliser. Photo: George Wood