Manchester City manager Manuel Pellegrini refused to back Joe Hart after the goalkeeper's mistake gifted Chelsea a 2-1 victory in the English Premier League on Sunday.
The match at Stamford Bridge seemed to be heading towards a draw, after the excellent Sergio Aguero had cancelled out the opener from Andre Schurrle.
But a shambolic miscommunication between Hart and Matija Nastasic in the 90th minute allowed Fernando Torres to score the winner, and with it leaving a fuming Pellegrini to storm into the tunnel without shaking Mourinho's hands at the final whistle.
"From tomorrow, we are going to see the best way to arrange things [in the goalkeeping department]," Pellegrini said when asked if Hart, who has been under scrutiny after several mistakes this season, still remained the City No. 1.
"What do I think about the goal? I won't talk about it. What do I think about my goalkeeper's performance? I repeat, the analysis I do with individual players I do with the players.
"How is the confidence? You must ask him how his confidence is, I talk just internally with the players. We are losing stupid points. In our three away defeats, we've had the important responsibility for the goals the other team scored."
Pellegrini was far from amused by Mourinho's celebrations after Torres' goal, with the Portuguese heading towards the away team's dugout to celebrate. Mourinho later explained he was looking to celebrate the goal with his son who was sitting behind City's bench.
"I don't want to speak about him," said Pellegrini, who does not exactly see eye-to-eye with the Chelsea manager. "I didn't expect anything else. It is a different way to celebrate from me.
Asked why he decided not to shake hands with Mourinho, Pellegrini simply said: "I didn't shake hands because I didn't want to."
Mourinho, still purring from the victory, said there were no hard feelings after the handshake snub from Pellegrini. "He lost the game in the last minute," the Portuguese said. "I have sympathy with that. Many times, in other cultures and countries, we shake hands before the game and that's enough.
"In Madrid normally I never did it, so I don't feel it's a lack of respect. If he was sad because of the result, I understand. If he thought I'd done something wrong celebrating there I accept that too."