United and Wolves will meet in the semi-finals if both progress.
The three British sides have the second legs of their last-16 ties to play with United 5-0 up on LASK, while Wolves are level at 1-1 with Olympiakos.
The return legs will take place on 5 or 6 August. United and Wolves are at home, but Rangers travel to Germany.
Draw in full:
Remaining last-16 ties: Copenhagen v Istanbul Basaksehir (0-1), Wolves v Olympiakos (1-1), Bayer Leverkusen v Rangers (3-1), Shakhtar Donetsk v Wolfsburg (2-1), Basel v Eintracht Frankfurt (0-3), Manchester United v LASK (5-0), Inter Milan v Getafe (first leg abandoned), Sevilla v Roma (first leg abandoned).
Quarter-finals, 10-11 August
Semi-finals, 16-17 August
Winner of quarter-final 4 v winner of quarter-final 2
Winner of quarter-final 3 v winner of quarter-final 1
Final, 21 August