The pair had a war of words this season in their press conferences over the winter period but they have since ended their public spat.
Mourinho's record of 72 wins in his first 100 games remains the best for any Chelsea manager, and although Conte thinks he could have done better, he believes his era at the club is different from that of the Portuguese.
“I could do better. Yes. This is my mentality. For sure this is a good stat but I know that, this season, we could have done better," Conte told reporters. "Mourinho was 72 in the first 100? We are talking about a great manager. Don't forget that the first 100 games with Mourinho were many years ago.
"Now it's not simple, I think, to have this type of results in this moment, in this present Chelsea. I must be pleased for the players, for the club, but for sure, we could do better. It's a different era. A different era in the history of the club. Only for this (reason).
"I think there are different eras. I have to consider this.
"I won a title with Juventus after two seventh places. When you win a title in this way, it's a great, great achievement. Not a simple achievement.
"Last season we won a title after a 10th place. When you win a title in this way, it means it's a great, great achievement. Not a simple achievement, only because your name is Chelsea and it's normal because, in the past, you won many titles.
"You have to see the era you are going through.”
While Conte and Chelsea have an outside chance at a top four finish this season, the club are still in the running for an FA Cup title, with the Italian and his side set to face off with Southampton in the semi-finals on Sunday.