The Clarets climbed to fourth with victory over Stoke last month but have struggled to impress since, and came up short again against a Palace side missing eight first-team regulars.
A second goal in two games from Bakary Sako was enough to secure the three points for the Eagles that would take the hosts up to 12th, and into serious contention for a top-10 finish having looked like near-certainties for relegation a few weeks ago.
Sako had retained his place after impressing with a fine goal in Monday’s FA Cup third-round defeat at Brighton and quickly demonstrated the confidence with which he is playing with an early run into the Burnley penalty area. However, he wasted his finest chance to shoot and was then dispossessed by a well-timed sliding tackle from James Tarkowski, with the appeals for a penalty rightly waved away.
From a similar position in the 21st minute he gave Palace the lead. Wilfried Zaha’s aimless pass was flicked on by Christian…