Mourinho was stopped by a steward and there were tense scenes as both sets of staff descended on the mouth of the tunnel.
Quality is the most important ingredient for any team hoping to win a league title, but fighting spirit is not far behind, and Chelsea showed it in huge amounts to snatch a point from this game.
"For me, Jose Mourinho's reaction was something I would expect and also something I would expect from the Chelsea bench".
Martial volleyed home to cancel out Antonio Rudiger's 21st-minute header before curling in what looked like being the victor from the edge of the penalty area.
Tempers flared up between Jose Mourinho and a member of the Chelsea coaching staff on the touchline, and the Manchester United manager has now shared his view on the heated bust-up.
Sarri said: "I spoke with Jose afterwards and realised we were wrong".
"Don't do what everyone does and say 'it's Mourinho who does things.' I don't know his name, I don't need to know". Now I think it's finished.
"It happened with me and Antonio [Conte] and this season it is still the beginning of course but he is the best player of the Premier League until now. I have dealt with this". But I have that situation immediately [after the match].
Sarri also said he would speak to Ianni again on Sunday. "I am a better player now".
Chaos ensued - and it was already pretty chaotic with Barkley scoring so late - but while the United manager was largely blameless, only reacting to provocation, it is perhaps valid to ask whether Ianni would have celebrated so wildly had the likes of Jurgen Klopp or Pep Guardiola been in the opposition dugout rather than Mourinho. "He apologised and I accepted". But after the game, the way the game was, it's an very bad result for us and a phenomenal result for them [Chelsea].
"That is the way we have got to do it, the second half against Newcastle and 60-65 minutes of this game and as long as we play like that I'm sure we will get the result".
"We controlled that very, very well". In the second half we managed to transform that on occasions in goals, in ambition, in free-flow play with good intensity, good passing, good quality.
The incident led to a delay in the game restarting, but the game was over seconds later, with United having gone so close to claiming a crucial win.
"We were not doing well", he said. "I want to play with short passes". "However, ultimately, I am disappointed". I don't want to go for the second ball.
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