Postpublished at 22:15 British Summer Time 22 July 2015
Good night.
Bitton, Mulgrew, Griffiths & Johansen give Celtic 6-1 aggregate lead
Finsen netted early Stjarnan opener in Iceland
Winner will play Azerbaijan's Qarabag
Champions League qualifying
Andy Campbell
Good night.
Please join us again tomorrow evening for live coverage of the Europa League ties involving Aberdeen, Inverness Caledonian Thistle and West Ham.
Almost time for me to go. There'll be reaction from Celtic's win against Stjarnan on the BBC Sport website later.
MBEHAN: "Great result & good confidence booster for Celtic , regardless of opposition 4 away goals is impressive #bbcscotfootball"
Celtic will now face Qarabag in Glasgow on 28 or 29 July with the return leg in Azerbaijan the following week.
After a momentary wabble at the start of this second leg, Celtic comfortably advance to the Champions League third qualifying round to face Qarabag of Azerbaijan.
Stefan Johansen nets his second goal of the tie, converting Charlie Mulgrew's low cross with a firm shot into the net.
Three minutes of stoppage begin.
Chris McLaughlin
BBC Sport in Iceland
"Griffiths popping up in the right place at the right time yet again. Stjarnan looked tired and are looking for the final whistle. A stroll in the plastic park now for Celtic."
Celtic open up their hosts again and Gary Mackay-Steven squares for Leigh Griffiths to sweep the ball low into the net.
Chris McLaughlin
BBC Sport in Iceland
"Rogic on for Celtic now. Had a horrible time with injuries last year but fit again. Ciftci off. Not a great night for the Turk who fired well over the bar at least three times."
This is Tom Rogic's first appearance since November 2013 after a long spell out with injury.
And now Celtic make their last substitution with Nadir Ciftci coming off and Tom Rogic getting a run out.
Final change for Stjarnan. Jon Arnar Barodal comes on in place of Jeppe Hansen.
Gunnar Nielsen claims the ball at the second attempt after his initial save from Charlie Mulgrew's free-kick almost allows Leigh Griffiths' an easy tap-in for Celtic.
Nadir Ciftci's frustration in front of goal continues as he drags the ball wide after latching on to Gary Mackay-Steven's pass.
Gary Mackay-Steven bears down on goal at the end of a flowing move but Stjarnan goalkeeper Gunnar Nielsen makes the block.
Olafur Karl Finsen tests Craig Gordon with a shot from around 20 yards. Fine save from the Celtic goalkeeper.
Nir Bitton tucks away Charlie Mulgrew;s free-kick but the Celtic midfielder is flagged offside.