Differing Europa League draws for Liverpool and Brighton
Jurgen Klopp's Reds will play LASK of Austria, Union Saint-Gilloise of Belgium and French Cup holders Toulouse in Group E.
The Anfield club are appearing in the Europa League for the first time since 2015/16, when they lost the final to Sevilla, after finishing fifth in last season's Premier League.
Brighton finished sixth domestically last season to qualify for Europe for the first time in their history and have been rewarded with a glamour draw in Group B.
The Seagulls will play Ajax, the four-time former European champions and UEFA Cup winners in 1992, as well as 1993 Champions League winners Marseille and Greek champions AEK Athens.
Last season's Europa Conference League winners West Ham United will also go to Greece to play Olympiakos in Group A, which will also contain German Bundesliga side Freiburg and TSC Backa Topola of Serbia.
TSC are making a rare foray into Europe after coming second in the Serbian league last season.
Following their defeat to PSV Eindhoven in the Champions League play-offs, 2022 Europa League runners-up Rangers were drawn in Group C with Real Betis, Czech champions Sparta Prague and Aris Limassol, the Cypriot title-holders.
Jose Mourinho's Roma, who lost last season's final on penalties to Sevilla, will play Slavia Prague, Sheriff Tiraspol of Moldova and Servette of Geneva in Group G.
The first round of group-stage matches will be played on September 21st, with this season's Europa League final being held in Dublin on May 22nd, 2024.