City staged a stirring second half fightback as goals from Phil Foden, Julian Alvarez (penalty) and Bernardo Silva helped secure a priceless 3-1 win.
It moved the newly crowned world champions into the top four of the Premier League.
Everton 1-3 City | Match report
On our return to domestic action after last week’s FIFA Club World Cup heroics in Saudi Arabia, City had trailed at the break to Jack Harrison’s first half strike.
But, just as in our last league away game at Luton, the defending champions showed we can marry grit and character alongside out talent by roaring back in the second half.
First Foden levelled affairs on 53 minutes with a superb long-range strike.
Alvarez then stepped up the turnaround by converting a 64th minute penalty after Amadou Onana had handled a Nathan Ake shot in the box.
And victory was sealed three minutes from time when Bernardo curled home a brilliant 87th minute effort from outside the box after Jordan Pickford had made a hash of an attempted clearance
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