Undone by goals from Michael Olise and Harry Kane in the 45th and 49th minute, a Daizen Maeda header saw Celtic secure a crucial goal to reduce the deficit ahead of their return leg to Munich.

A wonder strike from Olise opened to scoring with half-time fast approaching after Dayot Upamecano sent a long ball that ricocheted off Greg Taylor’s leg providing the winger with the opportunity to meld power with finesse and fire into the top corner.

Celtic were dealt what seemed a killer blow mere minutes after play had resumed, as one of Europe’s most lethal goal-scorers, Kane,  found himself bewilderingly unmarked at the back post during a Joshua Kimmich corner and rifled home his side’s second.

Down but not out, Celtic responded through Maeda to lift the supporters off their feet. A flick-on from a corner had found replacement Yang Hyun-Jun who skewed his effort but fortunately Maeda was quickest to it with a thundering header to bring the score back to one.

Brendan Rogers’ side had begun brightly but were denied a goal from Nicolas Kuhn after just thirty seconds by a VAR check that judged Adam Idah to have blocked the vision of Manuel Neuer from an offside position.

However it was was the visitors who held the lion’ share of possession and opportunities, Auston Trusty forced to throw his body in the way to prevent Kane from getting a shot away in the first-half.

In his usual role of live-wire Jamal Musiala continued to make probing runs and was almost rewarded as his one-two set him up for a good opportunity but was let down by his positioning as Celtic saw the ball to safety.

Schmeichel was alert and he needed to be, Kane forced a split second save from the Dane, who had no idea that the striker was offside and the striker came agonisingly close meeting a corner at the back post unmarked to hit the side netting, as Celtic failed to heed the warning.

Hunting desperately for a way back into the game, Reo Hatate saw his effort blocked by Kimmich after Arne Engels’ low cross did well to find the forward.

Tension ramped up in Celtic Park after referee Jesus Gil Manzano was called to the monitor after Upemecano had stepped on Engels’ foot in the box but it dissipated just as quickly with the official denying the home side a spot kick.

Substitute Serge Gnabry saw his low driven shot parried by the legs of Schmeichel as Bayern looked to put the game to bed before the return tie in Munich.

Asserting their dominance after extended periods of submission, Alistair Johnston forced Neuer into a strong save with a powerful shot but Vincent Kompany’s men secured the important, albeit diminished lead.

Line-ups:

Celtic (4-3-3): Schmeichel, Taylor, Trusty (Schlupp 65), Carter-Vickers, Johnston, Hatate, McGregor (c), Engels, Maeda, Idah (Jota 65), Kuhn (Yang Hyun-Jun 77)Unused subs: Bain, Kenny, McCowan, Murray, Nawrocki, Scales, Sinisalo

Goals: Olise (45), Kane (49)

Bayern Munich (4-2-3-1): Neuer (c), Raphael Guerreiro (Ito 78), Dier, Upamecano, Laimer, Goretzka, Kimmich, Sane (Sane 65), Musiala (Muller 87), Olise (Gnabry 65), Kane Unused subs: Boey, Buchmann, Kim Min-Jae, Pavlovic, Stanisic, Ulreich, Urbig, Vidovic

Goals: Maeda (79)

Referee: Jesus Gil Manzano