PLAYER RATINGS: Crystal Palace 1 Burnley 1
The Clarets are now just a solitary point from jumping out of the Premier League's relegation zone, though Everton were hosting leaders Manchester City in the evening kick off.
Sean Dyche's side also closed the gap on Leeds United and Brentford, who lost out to Tottenham Hotspur and Newcastle United respectively.
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Hide AdBurnley still have two games in hand on the Whites and three on the Bees, who continue to struggle in the top flight.
Jeffrey Schlupp put Crystal Palace ahead inside the opening 10 minutes when turning Michael Olise's cross beyond Pope with an outstretched leg.
However, Luka Milivojevic handed the visitors a share of the spoils when touching Aaron Lennon's pull back into his own net.
Here are the ratings.