Brighton travelled to Leeds United knowing a win would secure European football for only the second time in their 124-year history.
But after a dramatic late defeat by the hosts, they now head into final day with a handful of sides fighting for the four remaining European spots in the Premier League.
Leeds – playing with freedom after securing another year of top-flight football – made their life extremely difficult in the first half.
Veltman’s shot was blocked by Jaka Bijol and a swerving effort from Gross that needed Darlow to save were the only times they threatened before Van Hecke spurned the gilt-edged chance to put them in front in the 44th minute.
But Fabian Hurzeler’s half-time team talk had a clear effect on Brighton, who stepped up a gear after the break.
They generated 13 of their 19 shots in the second half, amassing an expected goals (xG) of 2.76, but remarkably failed to score, with Darlow producing seven saves.
Their profligacy means they are now all but out of the running for a Champions League place and will need to beat Michael Carrick’s Manchester United at home next Sunday to guarantee European football.