Mourinho emphatically celebrated the winning goal by Fernando Torres behind the visiting team’s dug-out, following which, Manchester City’s boss Pellegrini left without waiting for a full-time handshake.
The goal came as a direct result of a Joe Hart blunder, which left it open for the Spanish striker to net the ball home and give the Blues the full three points.
Pellegrini had little to comment about his early exit from the match, or Mourinho’s celebration.
"I don't expect a different way to celebrate from him. It's normal,” he replied.
"No, I didn't shake [his] hand. I didn't want [to]."
The Chelsea manager directed the blame towards Stamford Bridge, who had allocated his son a season ticket that was directly behind the City camp.
"I think Chelsea are guilty because I want to buy a season ticket for my son and they give season tickets for my son behind the opponent's dugout," Mourinho told reporters.
"They have to change and give my kid tickets behind my dugout. I went for him, I went for him, I promise that I went for him and next match you will see him there again.
"This is the drama of the last minute. I beat Manchester City in the last minute with Real Madrid [3-2 in last season's Champions League], I slid on my knees and I destroyed my trousers.
"If they [City] believe that my son is there, great. If they don't believe, I apologise if they feel I did something wrong."
He also saw nothing wrong in Pelligrini’s quick exit to the tunnel when full-time was announced.
"He lost the game in the last minute and I have sympathy with that," he said.
"In other cultures and other countries we shake hands before the game and that's enough. At the end of the game we don't. In Madrid, normally I never did it so I don’t feel it is a lack of respect.
"If he was sad because of the result I understand, if he was sad thinking I did something wrong, I accept that too, so no problem."