Fenerbahce and Gornik Zabrze—potential opponents for Hearts—both finished second last season in Turkey and Poland, respectively, with Jagiellonia Bialystok trailing the latter only on goal difference.
Champions League third-round qualifiers are slated for 4/5 and 11/12 August, with Europa League and Conference League matches on 6 and 13 August. Exact dates and the home-and-away order are still to be confirmed.
Hearts, who play the first leg against Sturm in Graz on Tuesday, last featured in Champions League qualifying in 2006-07, when AEK Athens eliminated them in the third qualifying round.
Last season, Rangers entered via Champions League qualifying and finished 32nd in the 36-team Europa League league phase after winning just one of their eight games.