Heart of Midlothian will meet Fenerbahce or Gornik Zabrze if they get past Sturm Graz in Champions League qualifying.
Third round ties are scheduled for 4/5 and 11/12 August.
If Hearts lose out to the Austrians, St Gallen (SWI)/Benfica (POR), Twente (NED)/Ferencvaros (HUN) or Qarabag (AZE)/CSKA Sofia (BUL) await in the Europa League.
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Like the Edinburgh club, Fenerbahce and Gornik Zabrze finished as runners-up last season in Turkey and Poland respectively.
Hearts last took part in Champions League qualifying in 2006-07, losing out at the third qualifying round stage to AEK Athens.
Rangers, Motherwell and Hibernian await news of their potential European opponents when the third qualifying round draws are made for the Europa League and Conference League.
Rangers are seeded and will play either Hammarby (SWE)/Anderlecht (BEL), Hajduk Split (CRO)/Pafos (CYP), Tromso (NOR)/Hradec Kralove (CZE) or Jagellonia Bialystok (POL).
In the Conference League, Motherwell take on Faroese outfit HB, with LNZ Cherkasy (UKR)/Gent (BEL), Besiktas (TUR)/FC Midtjylland (DEN), HJK Helsinki (FIN)/Coleraine (NIR), Twente (NED)/Ferencvaros (HUN) or RFS (Lat)/Vestri (ISL) waiting for the winners.
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Meanwhile, Hibs are up against Kosovan side FK Malisheva with their potential next round opponents coming from NK Bravo (SVN)/KF Shkendija (MKD), FC Santa Coloma (AND)/SK Rapid (AUT), Rakow (POL)/Valetta (MLT), NK Rijeka (CRO)/Derry City (IRL) or FC Polissya (UKR)/FC Copenhagen (DEN).
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