The 28-year-old striker — whose 14 goals this season has spurred Chelsea to a seven-point lead at the top of the table — was pictured at the club’s training ground hugging fitness coach Julio Tous, with whom apparently he had a row last week over the level of his fitness and amid reports of a big-money offer from China.
The Spanish international also trained with the rest of the squad having trained on his own at the start of the week.
Both the volatile Brazil-born star and Conte claimed he had a back injury after he was omitted from the squad for last Saturday’s 3-0 win over champions Leicester.
However, Costa was also said to have had his head turned by a bid from Chinese club Tianjin Quanjian, who were reportedly willing to offer him £30 million (35m euros, $37m) a year.
“I can tell you if there are problems –- and I repeat ‘if’ -– with players, I am used to solving them in the changing rooms, not outside, not in press conferences,” Conte said after the win over Leicester.
“Trust me, what I told you is the truth (about the back injury).”
Download our app and read this and other great stories on the move. Available for Android and iOS.