Brighton & Hove Albion went into half time with a 1-0 lead over Burnley after a goal from Andrew Crofts.
Brighton were able to put together the first chance of the game when Leonardo Ulloa was given sight of goal, but he dragged his shot wide.
Ulloa could have been in with a chance again soon after, but an in-swinging ball from the right by Kemy Agustien was just a yard too deep for the striker.
Oscar Garcia's men continued to add pressure on Burnley and a run from Will Buckley down the right won a free kick, which was delivered by David Lopez leaving Crofts to head over from close range.
Brighton finally took the lead after perseverance from Ulloa allowed him to rob Kevin Long. The striker then squared for Crofts, who was able to finish powerfully.
Burnley fought their way back into the game late on in the first half, and it took two separate clearances from striker Ulloa to prevent Sean Dyche's men from creating dangerous opportunities.
Last week's hero Keith Treacy then broke into the Brighton box, but he was closely followed by Stephen Ward and Matthew Upson, who were able to push the midfielder wide, leaving him with the only option but to shoot across goal and wide.
A clever exchange between Brighton's Rohan Ince and Agustien allowed the newly-signed midfielder to get behind the defence, but he was not able to test Burnley goalkeeper Tom Heaton.
Controversy then ensued as Buckley got in behind the defence again only to be brought down by goalkeeper and last-man Heaton – who was only given a yellow card – leaving staff on Oscar Garcia's bench furious. Lopez stepped up to take the free kick but his effort went wide.