Three William Hill Premiership clubs are involved in European draws as they seek to move a step closer to the group stage.
Rangers will face Dynamo Kyiv or FK Partizan in UEFA Champions League third round qualifying.
Kilmarnock are in UEFA Europa League second round qualifying action this week as they host Cercle Brugge at the BBSP Stadium, Rugby Park.
The winner of that tie will take on Molde FK of Norway or Silkeborg IF from Denmark. Should Derek McInnes' men lose out to their Belgian opponents then they'd drop into the UEFA Conference League, where they would meet either KuPS of Finland or Tromso of Norway.
St. Mirren are set for their first European adventure since 1987 when they take on Valur of Iceland. Should Saints progress then they'll play Go Ahead Eagles from the Netherlands or Norwegian outfit SK Brann.
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