Roma will again meet Bodo/Glimt, while Leicester will host PSV Eindhoven in the first leg of the quarter-final in the Europa Conference League.
Brendan Rodgers' men qualified 3-2 on aggregate after losing 2-1 to Rennes on Thursday, and find themselves in a tie with one of the stronger sides left in the competition.
Jose Mourinho may not have been too pleased to see his Roma side drawn against Norwegian side Bodo/Glimt.
The two sides were in the same Conference League group, and while Roma only managed a 2-2 draw at home, they were stunned 6-1 by Bodo/Glimt in Norway.
Europa Conference League quarter-final draw:
Bodo/Glimt v Roma
Feyenoord v Slavia Prague
Marseille v PAOK Salonika
Leicester v PSV Eindhoven