A late Wayne Rooney penalty meant Brighton shared the points with visitors Everton, after Anthony Knockeart had put the seasiders in front.
After a cagey first half where neither team created many chances, the game came to life in the last ten minutes. After fantastic work from Bruno down the right hand side, a goal-line scramble ensued which ended with Knockeart poking home from close range in the 82nd minute.
Brighton nearly doubled their lead just four minutes later, after substitute Izzy Brown had a shot tipped over the bar from Jordan Pickford.
With the game coming to an end, Everton were awarded a stoppage time penalty after Referee Michael Oliver adjudged Bruno to have impeded Dominic Calvert-Lewin. Wayne Rooney took the penalty and scored past Matthew Ryan in the Brighton goal.
Brighton nearly lost the game in the dying minutes, with Ryan twice denying Nikola Vasic in the closing moments of stoppage time.
Albion had made three changes to the side beaten by Arsenal last time out with Knockeart, Glenn Murray and Markus Suttner all returning to the starting XI.
Manager Chris Hughton expressed his disappointment that his side were unable to hold onto all three points saying ‘I’m incredibly disappointed. At this moment, because of the timing of the goals, it feels more like a defeat than a draw’.
This result leaves Brighton 14th in the Premier League table, and their next outing is away to West Ham United on Friday, where Albion will be looking to record their first away win of the season.