The draw sees the Warriors reunited with Toulon after last month's EPCR Challenge Cup Final in Dublin, the three-time champions also returning to the top tier after a season away.
Familiar foes Exeter Chiefs also lie in wait once more for the Warriors, after the two teams were drawn together in the pool stages for the sixth time in the last decade.
A first competitive meeting with Northampton Saints since the 2015/16 Champions Cup group stages awaits when the pool stages kick off, the 2000 champions having made the Premiership semi-finals in 2022/23.
Tournament newcomers Bayonne complete the fixtures for Glasgow Warriors, as the Basque club prepare to face the Scotstoun outfit for the first time in a competitive match on their first outing in the top tier of European rugby.
BKT United Rugby Championship winners Munster round out the pool, with the new tournament rules meaning that teams from the same league will not play each other in the pool stages.
Full fixture information, venues and broadcast details will be confirmed by EPCR in due course.
The club's two home European pool stage matches are included in a 2023/24 Season Ticket.