Earlier, Chelsea - who had been level with City and Liverpool before the weekend - needed a last-gasp equaliser to grab a point against Manchester United.
But in his post-match press conference, Mourinho revealed Ianni had approached him in the tunnel after the match and apologised.
Later, when asked about whether he was shown respect by the away fans, Mourinho said: "No, I don't think so, I did not get respect back from Chelsea (fans), but that's not my responsibility". What I did here today I will do in Madrid, in Milan, in Porto.
He said: "I'm not annoyed with anything".
This was, in the second half at least, much more like it from United, as Anthony Martial proved his quality, Juan Mata pulled the strings and Paul Pogba strived to make amends for his terrible switch-off at Willian's corner that allowed Antonio Rudiger a free header for Chelsea's first goal.
Mourinho, who won three titles with Chelsea, has been touted as the next Premier League managerial sacking after his side's indifferent start to the season.
As the game entered stoppage time, everything had seemed so orderly, with Jose Mourinho keeping to his word to rein in his emotions at the home of some of his greatest triumphs if his team were winning. "I have dealt with the situation immediately", the Italian said.
When the dust settles, though, there is much United and Mourinho can take from this second half - just not a crucial three points.
Mourinho is also concerned that the persistent talk about his future is undermining the team and suggested the dismal first-half showing against Newcastle, when United trailed 2-0 after 10 minutes before recovering to win, was partly down to players waking up to reports that the manager was about to be sacked.
"I was very happy with our performance for 60 minutes", Sarri said after the 2-2 draw.
Wolves fielded the same side for a record ninth straight Premier League game, but were undone by two superb goals in the space of 58 seconds midway through the first half from Etienne Capoue and Roberto Pereyra.
The dramatic finish was then overshadowed by the late scuffle, which had been instigated by Ianni's celebrations that Mourinho noted were "very impolite".
There are plenty of times in the past when Mourinho has been the instigator but, in the same part of the ground he once decried the good doctor three years ago, he was completely the wronged party when Chelsea celebrated their equaliser in the death throes of added time.