Image source, SNS
Rangers' Russell Martin, Hibernian's David Gray and Dundee United's Jim Goodwin lead their sides into Europe
Rangers have been drawn against Viktoria Plzen of the Czech Republic or Servette of Switzerland in the Champions League third qualifying round should they defeat Panathinaikos.
If Russell Martin's side lose to the Greeks, they face an equally difficult tie in the Europa League third qualifying round after they were drawn against either Besiktas of Turkey or Shakhtar Donetsk of Ukraine.
Should Hibernian defeat Midtjylland in their Europa League second qualifying round tie, they will take on Fredrikstad of Norway in the next stage.
Hibs will find out who they will face in Conference League qualifying should they lose to the Danes when its third qualifying round is drawn at 13:00 BST.
Dundee United will also find out who they will face should they defeat Luxembourg minnows UNA Strassen.
Rangers, Hibs and United play the first legs of their respective second qualifying round ties this week.
Hibs can be drawn against seven possible Europa League qualifying losers in the Conference League draw...
Beşiktaş or Shakhtar Donetsk, Oleksandriya (Ukraine) or Partizan Beograd (Serbia), Novi Pazar (Serbia) or Jagiellonia Białystok (Poland), Arda Kardzhali 1924 (Bulgaria) or HJK Helsinki (Finland), Hammarby (Sweden) or Charleroi (Belgium) and Baník Ostrava (Czech Republic) or Legia Warsaw (Poland).
Meanwhile, assuming United defeat Strassen, they have five potential opponents in the Conference League's third qualifying round...
Dečić (Montenegro) or Rapid Vienna (Austria), Cherno More (Bulgaria) or İstanbul Başakşehir (Turkey), Sheriff Tiraspol (Moldova) or Utrecht (Netherlands), Radnički 1923 (Serbia) or KÍ Klaksvík (Faroe Islands), and Pyunik (Armenia) or Győr (Hungary).