Liverpool manager Jurgen Klopp will face former club Borussia Dortmund, while Europa League champions Sevilla are up against Athletic Bilbao in the quarter-finals of the second-tier event.
Villarreal were pitted with Sparta Prague, and Braga will take on Shakhtar Donetsk in the other last-eight fixtures.
The match-ups were decided by a draw in Nyon, Switzerland on Friday, with the two-legged ties scheduled for 7 April and 14 March. Kickoff.com
Braga vs Shakhtar Donetsk
Villarreal vs Sparta Prague
Athletic Bilbao vs Sevilla
Dortmund vs Liverpool