Ianni, who is an assistant coach to Chelsea boss Maurizio Sarri, celebrated Ross Barkley's 96th-minute equaliser for the Blues in front of Mourinho, which sparked a melee in the dugout.
However, Jose was quick to play down the incident in his post-match interviews and is keen to put an end to the story, having accepted both Ianni and Chelsea's apologies.
“I want to thank Sarri for his honesty,” said the boss in his press conference ahead of the Juventus match.
“I want to thank Chelsea for its honesty too, but I'm not happy that he is going too far with the young boy.