Leinster will have a home tie against French side Toulon in the Round of 16 in the Heineken Champions Cup. Munster meanwhile will face four time champions Toulouse at home.
Reigning Heineken Cup champions Exeter face a round-of-16 date with Lyon and a potential heavyweight quarter-final clash against either Leinster or Toulon at Sandy Park.
Teams in the Champions Cup and Challenge Cup found out their fate after the draws were made in Lausanne, Switzerland.
Two-time winners Wasps were the only English club guaranteed home advantage after winning both pool games on the field, with results not impacted by Covid-19.
Wasps will host Clermont Auvergne with the winners playing Munster or four-time winners Toulouse at home in the last eight.
Bristol will travel to Bordeaux-Begles in the last 16, the Bears having beat the French side on their way to win the Challenge Cup in 2020.
The winners will be at home to Racing 92 or Edinburgh in the last eight.
Gloucester welcome La Rochelle to Kingsholm in the round of 16 and victory will secure a home tie against either Scarlets or Sale, who must head to west Wales for their knockout clash.
Some MASSIVE ties in the #HeinekenChampionsCup Round of 16 💥
With 7 titles between them, @leinsterrugby 🆚 @RCTofficiel promises to be huge while there’s another one to savour as @munsterrugby host European giants @StadeToulousain
What did you make of the draw? pic.twitter.com/hisPVhWiyg— Heineken Champions Cup (@ChampionsCup) March 9, 2021
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The pick of the Challenge Cup last-16 ties sees Ospreys host Newcastle and the Dragons entertain Northampton.
Cardiff Blues, tournament winners in 2018, travel to London Irish and Bath visit Zebre in Italy.
The draw for the quarter-finals were also made in Lausanne and there are three potential all-Gallagher Premiership ties.
Northampton-Harlequins, Bath-London Irish and Leicester-Newcastle are all possible last-eight clashes.
The rounds of 16 will be staged from April 2nd-4th with the quarter-finals set for the following weekend on April 9th-11th.
Full draw:
Champions Cup round of 16: Munster v Toulouse, Gloucester v La Rochelle, Wasps v Clermont Auvergne, Exeter v Lyon, Leinster v Toulon, Bordeaux-Begles v Bristol, Racing 92 v Edinburgh, Scarlets v Sale.
Champions Cup quarter-final: Exeter or Lyon v Leinster or Toulon, Wasps or Clermont Auvergne v Munster or Toulouse, Gloucester or La Rochelle v Scarlets or Sale, Bordeaux-Begles or Bristol v Racing 92 or Edinburgh.
Challenge Cup round of 16: Dragons v Northampton, Ospreys v Newcastle, London Irish v Cardiff, Harlequins v Ulster, Benetton v Agen, Zebre v Bath, Leicester v Connacht, Montpellier v Glasgow.
Challenge Cup quarter-final: Montpellier or Glasgow v Benetton or Agen, Dragons or Northampton v Harlequins or Ulster, Zebre or Bath v London Irish or Cardiff, Leicester or Connacht v Ospreys or Newcastle.