The 28-year-old striker has spearheaded Chelsea's Premier League title challenge with 17 goals this season.
But in January, Costa was dropped by manager Antonio Conte after a row between the pair on the training ground.
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Diego Costa will leave Chelsea in the summer
Clubs in the Chinese Super League are understood to be keen on taking Costa to the Far East.
While Atletico Madrid attempted to sign Costa last summer and would be interested in him at the end of the season if he became available.
Romelu Lukaku snubbed a contract offer from Everton
And according to The Guardian, Costa is likely to leave Stamford Bridge and Chelsea will target Everton’s Romelu Lukaku and Real Madrid’s Alvaro Morata as his replacement.
Lukaku has turned down a bumper contract offer from the Toffees but could cost as much as £70million.
Morata rejoined Madrid after two years at Juventus but has struggled to displace Karim Benzema as the main striker at the Bernabeu.