Celtic progressed into the Champions League but the 4-3 second-leg loss in Astana was their first of the season although they won 8-4 on aggregate.
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Celtic put one foot into the Champions League group stages with a 5-0 thumping of Astana in the first leg of their playoff at Parkhead.
Manchester United's troubles away from home in Europe continued in a 2-1 defeat at Fenerbahce in the Europa League as Paul Pogba limped off injured.
Manchester United laboured to a 1-0 Europa League victory over Zorya Luhansk at Old Trafford as Zlatan Ibrahimovic headed home in the second half.
Brendan Rodgers called for Celtic fans to trust his players after it took Moussa Dembele's dramatic stoppage-time penalty to give the Hoops a 2-1 win.
Moussa Dembele's first Celtic goal gave the Hoops a dramatic last-gasp 2-1 win over Astana and booked them a place in the Champions League playoff.
Leigh Griffiths' 78th minute strike gave Celtic a 1-1 draw against FC Astana and put the Hoops firmly in charge of their Champions League destiny.
Celtic put part-time Lincoln Red Imps in their place with a 3-0 Parkhead win that set up a Champions League third-round qualifying match with Astana.
FC Copenhagen cruised to a 3-0 win over Northern Ireland side Crusaders in the first leg of their Champions League second qualifying round.
Galatasaray secured themselves a Europa League spot with a 1-1 Champions League Group C draw against Astana.
Raul Jimenez scored twice as Benfica fought back from two goals down to draw 2-2 with FC Astana.
Atletico Madrid were stymied in Kazakhstan as they settled for a goalless draw against FC Astana in the Champions League on Tuesday.
"Tomorrow's match is the determining factor for our team future because all teams find it difficult to win on this pitch," said Simeone of Astana.
Atletico Madrid brushed aside Astana 4-0 on Wednesday evening to return to winning ways at the Vicente Calderon stadium in the Champions League.
Benfica opened their Champions League campaign with a 2-0 victory over group stage new boys Astana in Lisbon.
FC Astana are a tiny, new club, but they are backed by Kazakhstan's vast resources. Nick Ames went to see their grand project up close.
Manchester City have been handed a tough Champions League group stage draw against Juventus, Sevilla and Borussia Monchengladbach.
Manchester United have been drawn against Club Brugge in the Champions League playoffs.
Celtic eased past Stjarnan in their Champions League second-leg qualifier, while Astana upset Maribor to progress through to the next round.
Two of last season's Champions League group-stage underdogs got off to a rough start in the first leg of the second qualifying round on Tuesday.