Ajax are one of Kilmarnock's potential opponents as Scottish Premiership rivals St Mirren also await Wednesday's Europa and Conference League second qualifying round draws.
Kilmarnock, fourth in last season's Scottish Premiership, are unseeded in their Europa League draw and Molde, Rapid Vienna, Trabzonspor and Cercle Brugge are other potential opponents.
Should Derek McInnes' side lose their tie, they will drop into the Conference League third qualifying round as an unseeded side.
Stephen Robinson's St Mirren, who were fifth in the Premiership, are seeded in the Conference League second qualifying round draw and will face Brann, Hacken, Cliftonville or the winner of the ties between Magpies and Derry City, or Valur and Vllaznia.
The Europa League draw begins at 12:00 BST, with the Conference League at 13:00.
The first-leg matches for both Kilmarnock and St Mirren will be on 25 July, with the return matches on 1 August.
A third qualifying round and a play-off stage precede the group phase of both the Europa and Conference League competitions.
Kilmarnock last featured in European competition in 2019, with St Mirren's most recent involvement dating back to 1987.