He also turned in a man-of-the-match performance in United's 2-1 FA Cup semi-final win over Tottenham on Saturday as they booked a place in the Wembley final on May 19.
While the Italian has warned his counterpart there can be only victor in the final, he insists they have buried the hatchet.
"With Jose, we have clarified the situation", Conte told reporters.
And the Argentine insisted that finishing in the Premier League top four for a third consecutive season to qualify for the Champions League is more important to their progress as a club than silverware.
Mourinho said Pogba had shown what he is capable of in Wednesday's 2-0 win at Bournemouth after being substituted just four days earlier in a shock 1-0 home defeat to West Bromwich Albion that handed Manchester City the Premier League title.
"I think you grow up with criticism and pressure an intense work mentally and physical and I think we are growing up and two very good performances this week using nearly every player of the squad".
"We want to win trophies, we have the staff that want to win. At the minute there's no conversations and I'm going to keep playing my games".More news: BREAKING POLICE IDENTIFY MURDER SUSPECT: in BU Fatal Stabbing
"If you look at games we have played against the top six, we have won a lot of them so when we played against Tottenham we were confident as well". If we do that I think it's a sucessful season because 81 points is to break the 80-point target and to finish second against an untouchable victor is good.
The France worldwide has been the subject of plenty of speculation in recent weeks, particularly after clashing with United manager Jose Mourinho.
United will now hope to recover the major transfer fee's they spent on the young starlet by his sale at the end of this campaign.
He said: "I was really happy and pleased".
"Second with 81 points is a good season and then we can come to the (FA Cup) final with a good spirit, supported by good supporters".
Pogba has scored five goals and assisted 10 in 23 Premier League appearances this season. But, quick, I move on and sink it in and try to finish the season in the best way. I don't know if it's luck or just a little step, you know?
"After the game I was very frustrated".