City had fallen behind at the Etihad Stadium when Gary Cahill’s deflected shot wrong-footed Joe Hart and crept in on the hour mark – but Sergio Aguero levelled from the spot after Michael Essien was adjudged to have handled in the box.
And Samir Nasri, who came close to putting City ahead in the first half when his shot hit the crossbar, grabbed the winner in the 85th minute with a cool finish.
“Yes, I think so [we are back on track],” Mancini, whose side closed the gap to league leaders Manchester United back to a point, told Sky Sports. “I think it’s more than three points this game.
“We deserved to win this game because we had three or four chances in the first 20 minutes that we missed. Now we have this problem: we have a chance and we don’t score.
“When they scored their goal I think that we didn’t deserve to go down 1-0. But I think we deserved to win this game.”
Meanwhile, Chelsea interim boss Roberto Di Matteo admitted the 78th-minute penalty gave the home side the belief they could take the three points.
“I think it is tough on us,” said Di Matteo, whose side now trail fourth-placed Tottenham Hotspur by five points. “We fought very hard and I think we deserved a point at least.
“The penalty gave them a big lift because we were defending very well at that point and I think it gave them that little hope they needed probably.
“[The penalty decision] was a bit harsh. It was a handball, that’s for sure, but I don’t think he could have disappeared. He was very close to the ball as well so it’s harsh – but it was handball.”
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