The Citizens took the lead in the first period through a Rodri thunderbolt, before Bernardo Silva and Erling Haaland rounded off the result in the second.
Weight is very much now on Bayern shoulders ahead of the next leg in Bavaria.
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Live commentary:
90+4' The match has just finished.
88' Benjamin Pavard (Bayern Munich) lunges into his opponent and is relieved when the referee only shows him a yellow card.
87' Rodri (Manchester City) peeled away from his marker and got on the end of the resulting corner, but his fine header towards the underside of the crossbar is perfectly saved by the goalkeeper.
82' Good touch by Julian Alvarez (Manchester City) as he latched on to an accurate pass before attempting to threaten the goalkeeper with his long-range shot. Unluckily for him, his attempt only rattles the left post.
80' Thomas Tuchel has decided to introduce fresh legs, with Joao Cancelo (Bayern Munich) replacing Alphonso Davies.
80' The substitution is prepared. Thomas Muller (Bayern Munich) joins the action as a substitute, replacing Serge Gnabry.
76' 3 - 0 Goal! John Stones gets to the ball and heads it over the defence to Erling Haaland (Manchester City), who meets it nicely and fires in into the back of the net. 3:0.
76' Julian Alvarez (Manchester City) receives a precise pass in the box and takes the shot early. The ball heads towards the bottom right corner, but Yann Sommer shows off his skills and makes a brilliant save to deny him.
70' 2 - 0! A perfect lofted pass from Erling Haaland finds Bernardo Silva (Manchester City), who jumps highest and steers a close-range header into the roof of the net. His effort was both strong and precise, and Yann Sommer had no chance of stopping that. 2:0.
69' Substitution. Jamal Musiala makes his way off the pitch and Sadio Mane (Bayern Munich) comes on as his replacement.
68' Kevin De Bruyne (Manchester City) is being substituted because of an injury. Pep Guardiola sends Julian Alvarez on the pitch.
58' Ruben Dias (Manchester City) wastes a huge opportunity! He receives a precise cross inside the penalty area and releases a quick shot that sails under the crossbar. His effort, however, lacks power and the goalkeeper dives to make a stunning save.
57' Nathan Ake (Manchester City) receives a precise pass in the box and takes the shot early. The ball heads inside the left post, but Yann Sommer shows off his skills and makes a brilliant save to deny him. The ball goes out of play. Manchester City are awarded a corner kick.
55' One of the defenders is in the right place at the right time and makes a vital stop to deny a close-range header from Matthijs de Ligt (Bayern Munich).
54' Leroy Sane (Bayern Munich) wastes an opportunity. He finds himself in acres of space and fires in a terrific shot from long range straight towards the left side of the target, but the goalkeeper makes a brilliant save and stops this one!
50' Erling Haaland (Manchester City) gets to the rebound and shoots, but the effort is blocked.
49' Alphonso Davies (Bayern Munich) goes into the book for a horrible tackle. A yellow card is necessary in this case.
49' Leroy Sane (Bayern Munich) collects a pass on the edge of the box and unleashes a low drive to the middle, but Ederson makes a save.
48' This yellow card was deserved. The tackle by Bernardo Silva (Manchester City) was quite harsh and Jesus Gil Manzano didn't hesitate to show him a yellow card.
46' Leroy Sane (Bayern Munich) beats his marker and unleashes a thunderbolt of a shot from the edge of the box. Ederson sees the ball late but does well to stop it going inside the left post.
46' The second half has just started.
45+3' That is it for the first half after the referee blows his whistle and the players head to their respective dressing rooms.
45+2' Leroy Sane (Bayern Munich) was close to scoring after he unleashed a powerful shot which went a whisker wide of the left post.
34' Yann Sommer pulls off a superb save! He leapt to block the shot Ilkay Gundogan (Manchester City) fired on target from the rebound. His effort from inside the box was directed low to the middle of the goal.
27' 1 - 0 GOAL! Rodri (Manchester City) receives a quality pass, makes a yard for himself and smashes a jaw-dropping long-range shot into the top left corner. What a remarkable goal!
26' Jamal Musiala (Bayern Munich) receives a sweet pass inside the box, but his effort on goal is blocked by the defender.
1' The first half has just begun.
