Manuel Pellegrini has refused to be drawn into mind games with José Mourinho with the Manchester City manager attempting to end the spat with his Chelsea counterpart.
On Monday, Mourinho claimed that Pellegrini needed a "calculator" following his statement last week that Chelsea are "the team that spends the most money in the last 10 years, the team that spends the most money this year, so a little bit rich" in the aftermath of their 1-0 victory at the Etihad Stadium.
Pellegrini played down talk of psychological warfare, saying: "No, I don't think those are mind games. I don't think any managers can be affected by those kind of things.
"I answered just one time to Mourinho because if you remain always in silence, you sound as if you agree with those things. He started talking about referees and financial fair play, I don't think it is the way. But just one time I will speak, I will not continue every week talking about things that for me are not an important level."
Mourinho's comment about referees concerned Yaya Touré and how the Chelsea manager believed the midfielder should be banned for kicking out at Norwich City's Ricky van Wolfswinkel or there would be anarchy in football.
Toure was not charged by the Football Association and Pellegrini said: "I repeat, I don't respond to things Mourinho says every week because he will continue every week try talking about things that are not from football.
"I suppose the FA acts the way they think is better for all the teams. I trust in the FA and I trust in referees."