This led to a falling out between Conte and Costa but the pair put their differences temporarily aside to secure the Premier League title.
According to the Evening Standard, Atletico are considering using Wang Jianlin, their billionaire shareholder, to "engineer a temporary move to the Far East before signing him in January".
A second spell at Atletico could still happen, though, even with the La Liga side now working under a transfer embargo and unable to bring in any fresh faces until January 2018. China is another option but the Star says that Costa wants to remain in Europe and that may be made possible by AC Milan.
He added: "It seems I didn't have a good season".
"To not play for four or five months is hard". Will he join a Chinese Super League club or gutted out at Stamford Bridge?
"I think it will be the most important match of the group, but we are playing at home in the Bernabeu and I hope it will be a fortress", said Spain midfielder Francisco "Isco" Alarcon, who set up Diego Costa's goal after a brilliant dribble.
From a purely footballing sense, Conte adores Costa's work-rate on the field. They want to bring Romelu Lukaku back, but he would be a very expensive acquisition, so they would need to get all their ducks in a row first.More news: Brooks Koepka wins 117th US Open Championship
On Thursday, Costa announced that he will no longer play for Chelsea after receiving an SMS message from his manager. This presentation was posted on the club's official Twitter account, and unfortunately, they caught the moment when Conte flipped to the page where Costa was present (around the 33 second mark).
Costa's relationship with Conte broke down over the course of last season, coming to a head during a training ground bust up with his fitness coach, in January.
Antonio Conte dumped Diego Costa with a 27-word text message which started with a cheerful greeting and ended with "you're not in my plans".
Costa could even pursue the payment of a loyalty bonus if sold, given he has not formally asked for a transfer.
As aforementioned, while he would love to join Atletico Madrid, he can not afford to not play for six months, especially with the FIFA World Cup right around the corner.
The player still has two years left on his £180,000-a-week contract.