Pierre-Emerick Aubameyang, who scored an own goal in the meeting at the Emirates, put Arsenal ahead when beating Nick Pope at his near post.
The Gunners had opportunities to extend their lead through Bukayo Saka, Aubameyang and Thomas Partey, but the Clarets weathered the storm.
And Sean Dyche's side were gifted an equaliser before the break when Granit Xhaka, attempting to play the ball across his own penalty area, saw his pass ricochet off Chris Wood and into the net.
Erik Pieters, who replaced Charlie Taylor in the 63rd minute, was in the thick of the action following his introduction.
The Dutchman tested Bernd Leno with a tremendous dipping volley from distance and then saw a red card overturned having diverted Nicolas Pepe's shot onto the crossbar.
Wood almost snatched the points for the hosts when denied by the legs of Leno from Matej Vydra's cross before Calum Chambers smashed an effort against the post at the other end.
Here are the RATINGS.