Burnley picked up only their second point in seven games in an instantly forgettable match.
Burnley boss Steve Cotterill held talks with his chairman Barry Kilby before the game.
Kilby rejected an approach from Leicester for Cotterill who was upset by the £1.75million sale of top scorer Ade Akinbiyi to Sheffield United last week.
Kilby wants Cotterill to sign an extension to his contract, which runs out at the end of next season, but his players did little to persuade him to put pen to paper in a dire affair.
Graham Branch should have done better in the 10th minute for the visitors but he stabbed so far wide at the near post form a cross by Jon Harley that the ball stayed in play.
Brighton, short of cash and unable to find the striker they desperately need during the transfer window, were similarly inept going forward.
Burnley keeper Brian Jensen was not forced into action until the 28th minute when he held a deflected drive from outside the area by Alex Frutos.
Joel Lynch came close to breaking the deadlock for Brighton on the half hour with a 25-yard shot just wide at the target.
Burnley had to wait until first-half stoppage time for their first worthwhile effort at goal, James O'Connor curling narrowly wide from 20 yards.
It was a similar story in the second half as both sides struggled to carve out chances in a match littered with fouls.
Brighton bought on Colin Kazim-Richards in place of Seb Carole eight minutes after the restart.
Kazim-Richards, on target as a substitute five times this season, had a chance to extend that sequence midway through the second half but he fired over from inside the box from Gary Hart's pass.
Burnley boss Steve Cotterill held talks with his chairman Barry Kilby before the game.
Kilby rejected an approach from Leicester for Cotterill who was upset by the £1.75million sale of top scorer Ade Akinbiyi to Sheffield United last week.
Kilby wants Cotterill to sign an extension to his contract, which runs out at the end of next season, but his players did little to persuade him to put pen to paper in a dire affair.
Graham Branch should have done better in the 10th minute for the visitors but he stabbed so far wide at the near post form a cross by Jon Harley that the ball stayed in play.
Brighton, short of cash and unable to find the striker they desperately need during the transfer window, were similarly inept going forward.
Burnley keeper Brian Jensen was not forced into action until the 28th minute when he held a deflected drive from outside the area by Alex Frutos.
Joel Lynch came close to breaking the deadlock for Brighton on the half hour with a 25-yard shot just wide at the target.
Burnley had to wait until first-half stoppage time for their first worthwhile effort at goal, James O'Connor curling narrowly wide from 20 yards.
It was a similar story in the second half as both sides struggled to carve out chances in a match littered with fouls.
Brighton bought on Colin Kazim-Richards in place of Seb Carole eight minutes after the restart.
Kazim-Richards, on target as a substitute five times this season, had a chance to extend that sequence midway through the second half but he fired over from inside the box from Gary Hart's pass.