Celtic beat Stjarnan 4-1 in Iceland on Wednesday evening to complete a 6-1 aggregate victory in their Champions League second-round qualifier.
Ronny Deila's side fell behind after just six minutes, when Olafur Karl Finsen scored, but Nir Bitton equalised before the break.
Charlie Mulgrew gave Celtic the lead early in the second half and Leigh Griffiths and Stefan Johansen added further goals late on.
Celtic now face Qarabag - who defeated Montenegro's Rudar Pljevlja - in the third qualifying round, with the first leg at Parkhead on Wednesday July 29.
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