Shamrock Rovers have been handed a favourable draw in the third round of the Europa Conference League after the Hoops were paired with Teuta (Albania) or Inter Club d'Escaldes (Andorra)
The Hoops are at this stage as a result of a bye from the Champions League first round.
Teuta were soundly beaten by Moldovan side Sheriff in their previous tie, while Dundalk beat the Andorran side last year.
Dundalk and Bohemians have much more difficult tasks.
The Lilywhites will face Dutch side Vitesse if they reach the third round. Vinny Perth's side take on Levadia Tallinn of Estonia this week.
Bohemians are up against Luxembourg outfit F91 Dudelange and PAOK of Greece await the winner in the next round.
Match will be played on 5 and 12 August.
Celtic face a tough task against PSV Eindhoven or Galatasaray if they reach the third qualifying round of the Champions League qualifying.
Rangers will take on Malmo or HJK Helsinki in their opening Champions League qualifier.
Europa Conference League third round draw
Shamrock Rovers v Teuta (Albania) / Inter Club d'Escaldes (Andorra)
Vitesse (Netherlands) v Dundalk / Levadia Tallinn
Bohemians / F91 Dudelange v PAOK (Greece)