Former European champions Liverpool and Benfica will meet in the quarter-finals of the Europa League following the draw in Nyon.
The Portuguese side will host the first leg on April 1 against the Premier League team, whose only hope of silverware this season now lies with Europe's secondary club competition.
"We know they are a good team and of course we have played them before in the Champions League," Liverpool coach Rafa Benitez said.
"They are a massive club with a lot of support from their fans and it will be a tough game.
"They are top of the table and playing really well at the moment. I know a number of their players well so we know they have a lot of quality."
Fulham, who dumped Juventus out of the competition with a memorable 4-1 win on Thursday, were rewarded with a tie against German champions Wolfsburg, who beat Rubin Kazan with a goal in the last minute of extra-time.