Liverpool will play Real Madrid in the quarter-finals of the Champions League, in a repeat of the 2018 final.
The draw has also thrown up a meeting of Manchester City and Borussia Dortmund, with Chelsea to face Porto.
The other quarter-final is a repeat of last year's decider, as holders Bayern Munich meet Paris Saint Germain
While Real or Liverpool will play Chelsea or Porto in the semi-finals, with Bayern or PSG to take on Manchester City or Dortmund.
The Europa League quarter-finals will see Manchester United up against Granada of Spain and Arsenal to face Slavia Prague.
The winners of Manchester United and Granada will face Ajax or Roma with the winners of Arsenal/Slavia Prague meeting Dynamo Zagreb or Villareal.
Elsewhere, Manchester United have signed what's believed to be the biggest shirt-only sponsorship deal in the Premier League.
United have reached a five-year agreement with technology company TeamViewer, which is thought to be worth around £235m. The partnership will begin in time for next season.
