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 beat Czech 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.
Klopp described the draw as “tricky”.
“We played there [in 2020] – not that I watched them since then 500 times, but it’s still the same manager, pretty sure a similar structure, so it means uncomfortable to play against, very well organised,” added Klopp.
“It is a quarter-final – I didn’t expect any easy opponent. I have a lot of respect for what Atalanta is doing in the last years, very consistent.”
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
Victories for West Ham and Aston Villa in the Europa League and Conference respectively on Thursday have boosted England’s hopes of securing five places in next season’s revamped Champions League.
The group stage of 2024-25 Champions League will be re-structured to feature 36 clubs rather than 32, opening up two extra places for Europe’s best-performing leagues in Uefa competitions.
Prior to Thursday’s games, Italy and Germany were first and second in Uefa’s coefficient table with England third.
West Ham beat German club Freiburg to reach the quarter-finals while Villa came through their tie with Ajax.
England remain behind Germany but have five clubs remaining across the three European competitions – Champions League, Europa League and Conference League – with three German teams still involved.
