Brighton, back in Europe again, face a tough test against regulars Monaco, whilst they also take on Getafe of LaLiga.
Elsewhere, beaten Europa League finalists last season, Freiburg, will face Czech neighbours Jablonec and a match against Mohamed Salah's new side, Trabzonspor.
Salah will also take on a varied European tour with the Super Lig outfit, visiting Finland to face KuPS as well as trips to Red Star Belgrade and CSKA Sofia in Bulgaria.
Andorra side Inter Escaldes, who became the first team from the micro-state to qualify for a UEFA continental competition on Thursday, were rewarded with home games against Danish sides Copenhagen and Aarhus as well as Univ. Craiova of Romania.
All teams found out their six games from the 108 to be played in the League Phase.
Full League Phase draw
Pot One
Atalanta: Ajax (A), Pafos (H), Borac Banja-Luka (A), Kairat Almaty (H), Riga (A), Mjallby (H)
Braga: Copenhagen (A), Gent (H), KuPS (H), Brann (A), Aarhus (A), Egnatia (H)
Ajax: Atalanta (H), Midtjylland (A), Getafe (H), St. Truiden (A), Hajduk Split (A), FC Thun (H)
Freiburg: Monaco (A), Panathinaikos (H), Twente (H), Trabzonspor (A), Jablonec (H), Kauno Zalgiris (A)
Monaco: Freiburg (H), Brighton (A), Lincoln Red Imps (H), Hearts (A), Nordsjaelland (H), CSKA Sofia (A)
FC Copenhagen: Braga (H), Red Star Belgrade (A), Lugano (H), Univ Craiova (A), Inter Escaldes (A), Iberia Tbilisi (H)
Pot Two
Midtjylland: Ajax (H), Pafos (A), St. Truiden (H), Lincoln Red Imps (A), Hajduk Split (H), Egnatia (A)
Red Star Belgrade: FC Copenhagen (H), Gent (A), Trabzonspor (H), Lugano (A), Inter Escaldes (H), Iberia Tbilisi (A)
Gent: Braga (A), Red Star Belgrade (H), Brann (H), KuPS (A), Aarhus (H), FC Thun (A)
Panathinaikos: Freiburg (A), Brighton (H), Borac Banja-Luka (H), Kairat Almaty (A), CSKA Sofia (H), Nordsjaelland (A)
Pafos: Atalanta (A), Midtjylland (H), Hearts (H), Twente (A), Riga (H), Mjallby (A)
Brighton: Monaco (H), Panathinaikos (A), Univ. Craiova (H), Getafe (A), Kauno Zalgiris (H), Jablonec (A)
Pot Three
Lugano: FC Copenhagen (A), Red Star Belgrade (H), St. Truiden (H), Getafe (A), Kauno Zalgiris (H), Jablonec (A)
Getafe: Ajax (A), Brighton (H), Lugano (H), Univ. Craiova (A), Inter Escaldes (H), Iberia Tbilisi (A)
KuPS: Braga (A), Gent (H), Trabzonspor (H), Borac Banja-Luka (A), CSKA Sofia (H), Nordsjaelland (A)
Twente: Freiburg (A), Pafos (H), Kairat Almaty (H), Lincoln Red Imps (A), FC Thun (H), Aarhus (A)
Lincoln Red Imps: Monaco (A), Midtjylland (H), Twente (H), Brann (A), Hajduk Split (H), Egnatia (A)
Borac Banja-Luka: Atalanta (H), Panathinaikos (A), KuPS (H), Hearts (A), Riga (H), Mjallby (A)
Pot Four
St. Truiden: Ajax (H), Midtjylland (A), Brann (H), Lugano (A), Iberia Tbilisi (H), Hajduk Split (A)
Brann: Braga (H), Gent (A), Lincoln Red Imps (H), St. Truiden (A), Aarhus (H), Kauno Zalgiris (A)
Hearts: Monaco (H), Pafos (A), Borac Banja-Luka (H), Trabzonspor (A), Nordsjaelland (H), FC Thun (A)
Kairat Almaty: Atalanta (H), Panathinaikos (A), Univ. Craiova (H), Twente (A), Mjallby (H), Riga (A)
Trabzonspor: Freiburg (H), Red Star Belgrade (A), Hearts (H), KuPS (A), Jablonec (H), CSKA Sofia (A)
Univ. Craiova: FC Copenhagen (H), Brighton (A), Getafe (H), Kairat Almaty (A), Egnatia (H), Inter Escaldes (A)
Pot Five
Riga: Atalanta (H), Pafos (A), Kairat Almaty (H), Borac Banja-Luka (A), Jablonec (H), Kauno Zalgiris (A)
Hajduk Split: Ajax (H), Midtjylland (A), St. Truiden (H), Lincoln Red Imps (A), Nordsjaelland (H), FC Thun (A)
Jablonec: Brighton (H), Freiburg (A), Lugano (H), Trabzonspor (A), Iberia Tbilisi (H), Riga (A)
Nordsjaelland: Panathinaikos (H), Monaco (A), KuPS (H), Hearts (A), CSKA Sofia (H), Hajduk Split (A)
Aarhus: Braga (H), Gent (A), Twente (H), Brann (A), Egnatia (H), Inter Escaldes (A)
Inter Escaldes: Copenhagen (H), Red Star Belgrade (A), Univ. Craiova (H), Getafe (A), Aarhus (H), Mjallby (A)
Pot Six
FC Thun: Gent (H), Ajax (A), Hearts (H), Twente (A), Hajduk Split (H), CSKA Sofia (A)
CSKA Sofia: Monaco (H), Panathinaikos (A), Trabzonspor (H), KuPS (A), FC Thun (H), Nordsjaelland (A)
Kauno Zalgiris: Freiburg (H), Brighton (A), Brann (H), Lugano (A), Riga (H), Egnatia (A)
Mjallby: Pafos (H), Atalanta (A), Borac Banja-Luka (H), Kairat Almaty (A), Inter Escaldes (H), Iberia Tbilisi (A)
Iberia Tbilisi: Red Star Belgrade (H), Copenhagen (A), Getafe (H), St. Truiden (A), Mjallby (H), Jablonec (A)
Egnatia: Midtjylland (H), Braga (A), Lincoln Red Imps (H), Univ. Craiova (A), Kauno Zalgiris (H), Aarhus (A)
The Conference League League Phase begins on Thursday, October 15th, with six matchdays, which concludes on December 17th.
The full fixture list will be released by UEFA no later than Sunday.
The final takes place in Istanbul on June 2nd, 2027.