A summer long feud begun between Costa and Chelsea at the end of last season, when Conte messaged the 28-year-old informing him he wasn’t part of his plans for the upcoming season.
Costa chose to stay in exile in Brazil for the rest of the summer until a deal with Atletico was completed.
The Spain international got his wish on Tuesday night after his move to Atletico Madrid was finalised on Tuesday, although he won’t be able to play for them until January due to their transfer ban.
Conte said: “As I said before, I have no problem with Diego Costa.
“We wish for him the best for the future and we thank him for the last season. I repeat, I have no problem with him.”