Quarter-finalists from last season, Leinster, will face Northampton Saints and Montpellier in a shorter edition of the Heineken Champions Cup this term.
Ulster, who were the only other Irish province to reach the last-eight last season, will take on the side that knocked them out - Toulouse - and Gloucester.
Harlequins lineout coach, Jerry Flannery, will be helping to plot the downfall of his old province Munster, who will also come up against the French Top 14 leaders, Clermont Auvergne.
Connacht will take on last season's finalists Racing 92 and their old coach Pat Lam's current club, Bristol.
Exeter, who beat Racing to the trophy for the first time after a dramatic final earlier this month, were drawn with the four-time tournament winners, Toulouse, and Glasgow.
For the purposes of the draw, the 24 clubs which qualified from the Premiership, the PRO14 and the TOP 14 were classified into four tiers based on their performances in the knockout phases of their respective leagues, and/or on their qualifying positions in their respective league tables.
Each tier contained six clubs with Tier 1 made up of the number one and number two ranked clubs from each league, and Tier 2, the number three and number four ranked clubs from each league, and so on.
Starting with Tier 1, the clubs were either drawn or allocated into either Pool A or Pool B so that each pool contained 12 clubs with no clubs in the same tier from the same league in the same pool.
The key principles regarding the pool stage fixtures are that clubs will only play against opponents in the same pool, and clubs from the same league cannot play against one another.
The Tier 1 and Tier 4 clubs which were drawn in the same pool, but which are not from the same league, will play one another home and away over four rounds. The same principle applies to the Tier 2 and Tier 3 clubs which were drawn in the same pool, but which are not from the same league.
The exact dates of the Heineken Champions Cup pool stage fixtures and the Challenge Cup preliminary stage fixtures, including venues, kick-off times and TV coverage, will be announced as soon as possible following consultation with clubs and EPCR’s partner broadcasters.
The four highest-ranked clubs from each Heineken Champions Cup pool will qualify for the quarter-finals which will be played over two legs, and the clubs ranked from number five to number eight in each pool will qualify for the Round of 16 of the Challenge Cup.
2020/21 HEINEKEN CHAMPIONS CUP
POOL A (with opponents in brackets)
Bordeaux-Bègles (Dragons, Northampton Saints)
Leinster Rugby (Montpellier, Northampton Saints)
Wasps (Dragons, Montpellier)
Bath Rugby (La Rochelle, Scarlets)
Edinburgh Rugby (La Rochelle, Sale Sharks)
RC Toulon (Sale Sharks, Scarlets)
La Rochelle (Bath Rugby, Edinburgh Rugby)
Sale Sharks (Edinburgh Rugby, RC Toulon)
Scarlets (Bath Rugby, RC Toulon)
Dragons (Bordeaux-Bègles, Wasps)
Montpellier (Leinster Rugby, Wasps)
Northampton Saints (Bordeaux-Bègles, Leinster Rugby)
POOL B (with opponents in brackets)
Exeter Chiefs (Glasgow Warriors, Toulouse)
Lyon (Glasgow Warriors, Gloucester Rugby)
Ulster Rugby (Gloucester Rugby, Toulouse)
Bristol Bears (ASM Clermont Auvergne, Connacht Rugby)
Munster Rugby (ASM Clermont Auvergne, Harlequins)
Racing 92 (Connacht Rugby, Harlequins)
ASM Clermont Auvergne (Bristol Bears, Munster Rugby)
Connacht Rugby (Bristol Bears, Racing 92)
Harlequins (Munster Rugby, Racing 92)
Glasgow Warriors (Exeter Chiefs, Lyon)
Gloucester Rugby (Lyon, Ulster)
Toulouse (Exeter Chiefs, Ulster Rugby)
2020/21 season weekends
Round 1 – 11/12/13 December 2020
Round 2 – 18/19/20 December 2020
Round 3 – 15/16/17 January 2021
Round 4 – 22/23/24 January 2021
Heineken Champions Cup quarter-finals, 1st leg – 2/3/4 April 2021
Challenge Cup Round of 16 – 2/3/4 April 2021
Heineken Champions Cup quarter-finals, 2nd leg – 9/10/11 April 2021
Challenge Cup quarter-finals – 9/10/11 April 2021
Semi-finals – 30 April – 1/2 May 2021
2021 finals – Stade Vélodrome, Marseille
Challenge Cup final – Friday 21 May
Heineken Champions Cup final – Saturday 22 May