With Liverpool joining the unheralded Londoners in the last four, along with Hamburg SV and Atletico Madrid, Fulham's lack of European pedigree was clear, but they produced an impressive performance to beat VfL Wolfsburg 1-0 and 3-1 on aggregate.
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They had beaten Italian aristocrats Juventus 5-4 on aggregate last month to reach the quarter-finals in what will go down as one of the greatest nights in the club's history.
"We have played some good teams along the way, we've played consistently well throughout to be honest," captain Danny Murphy told ITV television.
"I'd probably say the Juventus game was something that will live in the memory, to come back against them, but that (against Wolfsburg) was certainly a very good performance, a very mature performance I would say in the bigger scheme of things.
"We haven't got great experience in Europe but we looked as though we did tonight. We could have won by more in the end."
"It ranks pretty much up there with some other very good evenings in my life. I must say I'm delighted with the performance," declared manager Roy Hodgson.
"I think with a little bit more energy, because we spend a lot of energy, we could have actually aggravated the score because we had so many chances towards the end of the game.
"But 1-0 is always a good score, especially away from home," added the former Inter Milan and Switzerland manager with a typically modest smile.
"It's nice to make history and I'm just so delighted for the players because they were so determined to give a good account of themselves.
"They were gutted by the goal we conceded in the last minute at Craven Cottage after a performance that should have seen us keep a clean sheet and it's fantastic that they've come here and kept a clean sheet today."
