Burnley or Aberdeen will play Turkish side Istanbul Başakşehir in the third qualifying round of the Europa League.
Başakşehir finished third in the Turkish Super League last season behind Istanbul rivals Fenerbahce and champions Galatasary.
Burnley meanwhile, reached the competition after a Premier League season that saw them finish in 7th, five point clear of Everton in 8th.
Following Monday's draw in Nyon, the winners of Burnley v Aberdeen will go on to meet Turkish side Istanbul Basaksehir in the third qualifying round. Those games will be played on August 9 and 16, with the English or Scottish team away in leg first.
Scottish club Rangers will play Osijek of Croatia in the second qualifying round. Should Steven Gerrard's side progress, they would meet the winners of Chikhura Sachkhere against Maribor.
Hibernian face Greek team Asteras Tripolis in round two. Should the Scottish side come through, they would meet either Molde or Albanian team Lac.
Northern Ireland club Crusaders have a second-round tie against Olimpija Ljubljana of Slovenia. If they progress, then either BATE Borisov or HJK Helsinki will be next up in the third round.
Dundalk, meanwhile, play AEK Larnaca and the winners of that tie will go on to face the losers of the Champions League qualifier between Ajax and Sturm Graz.
The New Saints play Lincoln Red Imps of Gibraltar in round two of Europa League qualifying. Monday's draw saw the winners of that match handed a third-round fixture against Astana or Midtjylland.
Europa League third qualifying round draw
- Tobol Kostanay (KAZ)/Pyunik (ARM) v Maccabi Tel-Aviv (ISR)/Radnicki Niš (SRB)
- Dunajská Streda (SVK)/Dinamo Minsk (BLR) v Zenit (RUS)
- Ajax (NED)/Sturm Graz (AUT) v Dundalk (IRL)/AEK Larnaca (CYP)
- St. Gallen (SUI)/Sarpsborg (NOR) v HNK Rijeka (CRO)
- İstanbul Başakşehir (TUR) v Aberdeen (SCO)/Burnley (ENG)
- Zorya Luhansk (UKR) v Braga (POR)
- Hapoel Haifa (ISR)/FH Hafnarfjördur (ISL) v Atalanta (ITA)/Sarajevo (BIH)
- Genk (BEL)/Fola Esch (LUX) v Shakhtyor Soligorsk (BLR)/Lech Poznań (POL)
- Viitorul (ROU)/Vitesse (NED) v PAOK (GRE)/Basel (SUI)
- Nordsjælland (DEN)/AIK (SWE) v Partizan (SRB)/Trakai (LTU)
- Hibernian (SCO)/Asteras Tripolis (GRE) v Molde (NOR)/Laç (ALB)
- Hajduk Split (CRO)/Slavia Sofia (BUL) v Rudar Velenje (SVN)/FCSB (ROU)
- Sevilla (ESP)/Újpest (HUN) v Žalgiris Vilnius (LTU)/Vaduz (LIE)
- Sigma Olomouc (CZE) v Kairat Almaty (KAZ)/AZ Alkmaar (NED)
- Balzan (MLT)/Slovan Bratislava (SVK) v Rapid Wien (AUT)
- Djurgården (SWE)/Mariupol (UKR) v Ventspils (LVA)/Bordeaux (FRA)
- CSKA-Sofia (BUL)/Admira Wacker Mödling (AUT) v Stjarnan (ISL)/København (DEN)
- Olympiacos (GRE) v Luzern (SUI)
- Osijek (CRO)/Rangers (SCO) v Chikhura Sachkhere (GEO)/Maribor (SVN)
- Górnik Zabrze (POL)/Trenčín (SVK) v Feyenoord (NED)
- Jagiellonia Białystok (POL)/Rio Ave (POR) v Gent (BEL)
- Spartak Subotica (SRB)/Sparta Praha (CZE) v Brøndby (DEN)
- Ufa (RUS)/Domžale (SVN) v Budapest Honvéd (HUN)/Progrès Niederkorn (LUX)
- B36 Tórshavn (FRO)/Beşiktaş (TUR) v LASK (AUT)/Lillestrøm (NOR)
- Željezničar (BIH)/Apollon Limassol (CYP) v Dinamo Brest (BLR)/Atromitos (GRE)
- Leipzig (GER)/Häcken (SWE) v U Craiova (ROU)
Seeded teams in bold