Italian sides Inter Milan and Roma will take on Spain's Getafe and Sevilla respectively, while Manchester United will play Austrian side LASK.
Two Italy-Spain pairings headlined the Europa League draw on Friday.
Three-time champion Inter Milan was drawn to play Getafe, and record five-time champion Sevilla will face Roma.
Inter could be forced to play the first leg on March 12 in an empty San Siro Stadium because the city has been engulfed in the virus outbreak in northern Italy. Inter hosted Ludogorets on Thursday without spectators.
Manchester United will play at Austrian club LASK in the first leg in a pairing of the highest- and lowest-ranked teams left in the competition.
There were 17 teams in the last 16 draw because a hurricane warning in Austria prevented Salzburg from hosting Frankfurt on Thursday. They are scheduled to play Friday, and the winner will face Basel.
After beating Arsenal on Thursday, Olympiakos was paired with another English team, Wolverhampton Wanderers.
The second legs are scheduled to be played on March 19.
Here's the full list of matches for the Europa League round-of-16.
First Leg - March 12
Istanbul Basaksehir (Turkey) vs. Copenhagen (Denmark)
Olympiakos (Greece) vs. Wolverhampton Wanderers (England)
Rangers (Scotland) vs. Bayer Leverkusen (Germany)
Wolfsburg (Germany) vs. Shakhtar Donetsk (Ukraine)
Inter Milan (Italy) vs. Getafe (Spain)
Sevilla (Spain) vs. Roma (Italy)
Eintracht Frankfurt (Germany) or Salzburg (Austria) vs. Basel (Switzerland)
LASK (Austria) vs. Manchester United (England)
Second Leg - March 19
Copenhagen (Denmark) vs. Istanbul Basaksehir (Turkey)
Wolverhampton Wanderers (England) vs. Olympiakos (Greece)
Bayer Leverkusen (Germany) vs. Rangers (Scotland)
Shakhtar Donetsk (Ukraine) vs. Wolfsburg (Germany)
Getafe (Spain) vs. Inter Milan (Italy)
Sevilla (Spain) vs. Roma (Italy)
Basel (Switzerland) vs. Eintracht Frankfurt (Germany) or Salzburg (Austria)
Manchester United (England) vs. LASK (Austria)
