Jeff Hendrick marked his 100th Premier League appearance in stunning style to rescue a point for the Clarets with a dramatic late equaliser.
Burnley’s impressive recent record against Brighton was only moments away from coming to an end thanks to Neil Maupay’s opener early in the second half.
But substitute Hendrick made sure the Clarets would make it eight unbeaten against the Seagulls when he crashed in an injury-time equaliser with a magnificent 25-yard strike.
It was the Clarets’ only effort on target in a game where they struggled to make any sort of sustained impact.
But once again their ability to stay in the hunt proved priceless as Hendrick came up trumps with his eighth league goal for the Clarets to complete a memorable couple of weeks for the midfielder, who won his 50th cap for Ireland at the start of the month and is now a member of the ‘100 Club’ at Turf Moor.
The Clarets were unchanged from the side that had lost to Liverpool ahead of the international break, with Dwight McNeil recovered from the tightness in his hamstring which had prevented him from linking up with England’s Under-21s for the first time.
And it was McNeil who looked the most likely source of a break-through for the Clarets in a slow burner of a first half which developed into a real scrap in the sun.
Twice in the Clarets’ best spell of the opening 45 minutes McNeil delivered dangerous balls from the left wing which almost produced an own-goal from Adam Webster and then a shooting chance for Jack Cork, who controlled a downward header from James Tarkowski before steering an effort just beyond Chris Wood at the far post.
Burnley looked to be gaining the initiative at that stage but Brighton – a physically imposing side with four centre-backs scattered across their line-up – negated that to finish strongly before the break.
With the massive figure of Dan Burn on one flank, the home side often looked to Solly March on the opposite side to provide their thrust and he forced Nick Pope into a smart save low down at his near post to keep the scores level.
And with Glenn Murray twice going close, with a header that skidded wide and a shot which Pope also saved, the Clarets were glad of the chance to re-group.
Anything said didn’t immediately alter the flow, however, and six minutes into the second half Brighton went in front.
Maupay had been denied once by Pope as he raced clear but seized his second opportunity when March clipped over a cross which the former Brentford striker met on the volley with an assured finish into the bottom corner to give him his second Premier League goal.
The Clarets made a change with Hendrick replacing Aaron Lennon and there was a chance to level when Ashley Westwood connected with a volley which would have been diverted goalwards by a slightly stronger touch from the outstretched leg of Wood as the former Brighton man reacted as quickly as he could.
That was Wood’s final contribution as Jay Rodriguez was introduced to try and add some threat, followed by Matej Vydra as the Clarets desperately tried to get something going in the final stages with a switch to a 4-3-3 formation.
And Vydra played a big part as the Clarets suddenly pinched an equaliser from nowhere at the end of their best move of the game.
The striker - one of half a dozen Clarets to be involved - cleverly laid the ball into the path of Hendrick and the Dubliner kept his head down to drive a superb shot skidding into the bottom corner from 25 yards to get his 100 up in style and deny Brighton a first win since the opening day.
It is also brought the Clarets their second point on the road and brought some compensation for the late equaliser they suffered at Wolves in a welcome case of role reversal to claim 14th place in the table.
Brighton: Ryan; Duffy, Dunk, Webster; March (Bong 90), Gross, Propper, Stephens, Burn; Maupay (Connolly 84), Murray (Mooy 80). Substitutes: Button, Bissouma, Baluta, Alzate.
Burnley: Pope; Lowton, Tarkowski, Mee, Pieters; Lennon (Hendrick 59), Westwood, Cork (Vydra 78), McNeil; Wood (Rodriguez 66), Barnes. Substitutes: Hart, Brady, Gibson, Bardsley.
Booked: Lennon, Westwood
Referee: Michael Oliver