The Clarets broke the deadlock late on through Josh Brownhill following this tight and edgy encounter at Turf Moor.
But, for the second week running, Muric cost his side with a real horror moment, allowing Sander Berge’s back pass to go under his boot and into the back of the net.
In being held to a 1-1 draw, Burnley remain six points adrift of safety with only five games remaining.
Here’s how Burnley’s players rated:
13. SUB: Jay Rodriguez - 6/10
For Fofana, 63Saw a low shot well saved after receiving a predictable reception from the Brighton fans, but otherwise wasn’t hugely involved. Photo: Lewis Storey
14. SUB: Josh Brownhill - 7/10
For Ekdal, 66Looked to have won Burnley the game, charging down the keeper after a back pass to finally break the deadlock. Photo: Naomi Baker
15. SUB: Mike Tresor - 6/10
For Bruun Larsen, 86A rare appearance for the Belgian yet we didn’t see a great deal from him. Didn’t get the chance to get on the ball. Photo: Lewis Storey