Jürgen Klopp was handed an emotional return to Dortmund with Liverpool while holders Sevilla will play Athletic Bilbao.
Europa League quarter-final draw in full
Borussia Dortmund v Liverpool
Athletic Bilbao v Sevilla
Villarreal v Sparta Prague
Braga v Shakhtar
Ties to be played on Thursday 7 April and Thursday 14 April.