Martin Jol’s men needed to win the match to stand a chance of making it through their group, and looked to be on course as first half goals from Clint Dempsey and Kerim Frei gave the home team a 2-0 lead at the interval.
However the Scandinavians fought back, and a Henrik Andreasen strike made the Craven Cottage crowd nervous.
When it looked that the Londoners would hold on to get the three points, a late Baye Fall goal in injury time broke the hosts’ hearts and forced an exit from Europe.
Jol was disappointed with the nature of his side’s collapse, and feels they should not have conceded two goals at home.
“It was the last cross of the match, so I’m very, very disappointed,” the Dutchman told Sky Sports.
“They scored a goal from a free-kick and the wall was probably not in the right position. We couldn’t get forward, we didn’t do what we did in the first half. It was totally different.
“We dropped deep and tried to protect the lead, but you have to score a goal and try and get in their half.
“We didn’t do that enough. To give two goals away is very disappointing,” he concluded.
The European exit does mean that Fulham can focus on domestic matters, and they take on Bolton in an important league clash on Saturday.
By Gareth McKnight