The Swedish outfit, who won the competition - then named the UEFA Cup - in 1982 and 1987, come up against the side from Luxembourg in the first round of qualifying.
Awaiting the winners of the two-legged tie, to be played on July 3 and 10, will be Gyori ETO of Hungary.
Aberdeen, UEFA Cup Winners' Cup champions in 1983, have been drawn against Latvia's Daugava Riga in the first round, and will face a tricky tie against Eredivisie outfit Groningen should they progress to the second stage.
College Europa make history by becoming the first Gibraltarian side to take part in the competition, and have been paired with Liechenstein's cup winners Vaduz.
Elsewhere, Rosenborg of Norway come up against Jelgava, and Ferencvaros have been drawn to face Sliema Wanderers.
In the second round, Turkish Super Lig outfit Bursaspor will take on either Turnovo or Chikhura Sachkere, while Motherwell will go head to head with Stjarnan or Bangor City of Wales.
UEFA Europa League qualifying draw in full:
First round (July 3 and 10):
Sioni Bolnisi v Flamurtari
Tiraspol v Inter Baki PIK
Hibernians v Spartak Trnava
Sant Julia v Cukaricki
Koper v Celik Niksic
Turnovo v Chikhura Sachkhere
FC Shirak v Shakhter Karagandy
Qabala v Siroki Brijeg
Diosgyori v Birkirkara
Vaduz v College Europa
Veris v Litex Lovech
Santa Coloma v Metalurg Skopje
Kairat Almaty v Kukesi
Folgore Falciano v Buducnost Podgorica
Split v Mika
Botev Plovdiv v Libertas
Lovcen v Zeljeznicar
Shkendija v Zimbru Chisinau
Sliema Wanderers v Ferencvaros
Pyunik v Astana
Rudar Velenje v Laci
Differdange v Atlantas
Vaasa v Brommapojkarna
Torshavn v Linfield
Fram Reykjavik v Nomme Kalju
Rosenborg v Jelgava
Derry City v Aberystwyth Town
Aberdeen v Daugava Riga
Tartu FC Santos v Tromso
Crusaders v Ekranas
Stjarnan v Bangor City
Jeunesse Esch v Dundalk
Myllykosken Pallo v Fuglafjordur
Hafnarfjordur v Glenavon
Sillamae Kalev v Honko Espoo
Banga v Sligo Rovers
Vikingur v Daugava Daugavpils
Gothenburg v Fola Esch
Haugesund v Broughton
Second round (July 17 and 24):
Gyori ETO v Gothenburg/Fola Esch
Molde v Gorica
Lovcen/Zeljeznicar v Santa Coloma/Metalurg Skopje
Fram Reykjavik/Nomme Kalju v Lech Poznan
Dinamo Minsk v Myllykosken Pallo/Fuglafjordur
Neman Grodno v Hafnarfjordur/Glenavon
Hapoel Beer Sheva v Split/Mika
Slovan Liberec v Kosice
Víkingur/Daugava Daugavpils v Tartu FC Santos/Tromso
Petrolul Ploiesti v Sioni Bolnisi/Flamurtari
Sant Julia/Cukaricki v Grodig
Cluj v Jagodina
Motherwell v Stjarnan/Bangor City
Hibernians/Spartak Trnava v Zestafoni
Crusaders/Ekranas v Vaasa/Brommapojkarna
Aberdeen/Daugava Riga v Groningen
Bursaspor v Turnovo/Chikhura Sachkhere
Neftci v Koper/Celik Niksic
Torshavn/Linfield v Solna
Rijeka v Sliema Wanderers/Ferencvaros
Folgore Falciano/Buducnost Podgorica v Omonia
Mlada Boleslav v Qabala/Siroki Brijeg
Luzern v Saint Johnstone
Rudar Velenje/Laci v Zorya Luhansk
Rosenborg/Jelgava v Banga/Sligo Rovers
Differdange/Atlantas v Shirak/Shakhter Karagandy
Sarajevo v Haugesund/Broughton
Zulte Waregem v Zawisza Bydgoszcz
Sillamae Kalev/Honko Espoo v Krasnodar
CSKA Sofia v Shkendija/Zimbru Chisinau
Derry City/Aberystwyth Town v Shakhtyor Soligorsk
Ruch Chorzow v Vaduz/College Europa
Hapoel Tel-Aviv v Pyunik/Astana
Trencin v Vojvodina
Veris Chisinau/Litex Lovech v Diosgyori/Birkirkara
Botev Plovdiv/Libertas v St Polten
Asteras Tripolis v RoPS Rovaniemi
Hajduk Split v Jeunesse Esch/Dundalk
Kairat Almaty/Kukesi v Esbjerg
Elfsborg v Tiraspol/Inter Baki
