Liverpool will play Atalanta in the quarter-finals of the Europa League with West Ham set to face Bayer Leverkusen.
Italian rivals AC Milan and Roma meet for a place in the semi-finals, while Portuguese club Benfica take on Ligue 1 side Marseille.
Meanwhile, Aston Villa have been drawn against Lille in the quarter-finals of the Conference League.
The first legs take place on 11 April, with the second legs on 18 April.
If Liverpool come through their tie, they will face either Benfica or Marseille in the semi-finals, with West Ham meeting AC Milan or Roma if they find a way past Bundesliga leaders Leverkusen.
The semi-finals are scheduled for 2 May and 9 May.
Dublin Arena in the Republic of Ireland hosts this season’s final on Wednesday, 22 May.
Europa League quarter-finals draw
AC Milan v Roma
Liverpool v Atalanta
Bayer Leverkusen v West Ham
Benfica v Marseille
Semi-finals draw
Benfica or Marseille v Liverpool or Atalanta
AC Milan or Roma v Bayer Leverkusen or West Ham
Liverpool still have the potential to pick up four trophies in Jurgen Klopp’s final season in charge after they beatCzech club Sparta Prague 11-2 on aggregate in the last 16, winning 6-1 in the second leg at Anfield on Thursday.
Atalanta and Liverpool have met on two previous occasions, with the Reds winning 5-0 in Italy and losing 2-0 at home during the group stage of the Champions League in 2020-21.
The Italian club are sixth in Serie A and are yet to lose in the Europa League this season, winning five and drawing three.
West Ham, who won the Europa Conference League last season, go up against Bayer Leverkusen for the first time.
The Hammers saw off German opposition in the last 16, beating Freiburg 5-1 on aggregate, coming back from a 1-0 loss in the first leg with a 5-0 win at London Stadium.
They have a record of six wins, six defeats and one draw when facing German teams in Europe.
Leverkusen are 10 points clear of second-placed Bayern Munich in the Bundesliga, and have not lost a match in all competitions this season, winning 32 and drawing five.
Aston Villa reached the last eight of a major European competition for the first time since 1998 with a 4-0 aggregate win against Dutch giants Ajax in the Conference League.
Villa have never previously met Lille but have picked up two wins, two losses and two draws when facing French opposition in European competition.
Club Bruges meet PAOK, Olympiacos face Fenerbahce and Viktoria Plzen have been drawn against Fiorentina.
If Villa come through their quarter-final tie they take on either Olympiacos or Fenerbahce in the semi-finals.
The 2023-24 Europa Conference League final will be staged at the AEK Arena in Athens, Greece, on Wednesday, 29 May.
Conference League quarter-finals draw
Club Bruges v PAOK
Olympiacos v Fenerbahce
Aston Villa v Lille
Viktoria Plzen v Fiorentina
Semi-finals draw
Aston Villa or Lille v Olympiacos or Fenerbahce
Viktoria Plzen or Fiorentina v Club Bruges or PAOK
