Celtic face a trip to Azerbaijan or Montenegro in the next round of Champions League qualifying.
Ronny Deila's men were drawn to play Qarabag or Rudar Pljevlja in the third qualifying round, if they beat Stjarnan in the second round.
Qarabag drew 0-0 at home to Rudar in Azerbaijan in the first leg. Celtic beat Stjarnan 2-0 at home on Wednesday and travel to Iceland for the second leg next Wednesday.
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Celtic were drawn out first for the third round, which takes place on July 28-29 and August 4-5.
Two sides from the home nations, The New Saints and Dundalk, will meet in the next round if both sides overturn first-leg deficits.
The Irish champions look to have a better chance of progressing after hitting an away goal in a 2-1 defeat by BATE Borisov in Belarus.
The Welsh side were beaten 1-0 at home by Hungarian champions Videoton.
Northern Irish champions Crusaders were drawn against Bulgarian side Ludogorets or Moldovans Milsami but they will have to overturn a 4-1 deficit when they travel to Albania next week to play Skenderbeu. Milsami secured a 1-0 win in Bulgaria this week.