Shamrock Rovers will face Ara-rat Armenia or Riga FC if they reach the second qualifying round of the Champions League.
The Premier Division champions were drawn against Floriana of Malta in the first round yesterday.
Derry City will face Qarabağ or Vestri if they progress past CSKA Sofia in the Europa League.
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Joey O'Brien's Shelbourne have been pitted against the winner of Kalju and Linfield in the Conference League's second qualifying round.
Bohemians will take on Connah's Quay Nomads or Ballkani if they beat St Joseph's of Gibraltar in the first qualifying round of the Conference League.
