Tempers flared when Conte intervened in the training-ground clash and it is understood the Italian yelled at his star striker: "Go off to China, then".
The Spain worldwide is now in his worst run before goal since moving to Stamford Bridge having not found the rear of the net in some of his last five league matches.
Tianjin would need to make room in their squad for Costa, who has scored 17 goals for Premier League leaders Chelsea this season, with Brazilian duo Junior Moraes or Geuvanio the most likely to make way. "And we have already made contacts with several players", he told Sina Sports.
Chelsea worry that Diego Costa's head was turned by prospective big money offers from China, .
Tianjin are believed to be ready to make Costa the best-paid player in the world, by offering him a contract worth £650,000 a week after tax.More news: That 'Armada' Heading To North Korea? Actually, It Sailed South
Tianjin Quanjian are "still working" on the signing of Chelsea striker Diego Costa, according to the Chinese Super League club's owner.
Chelsea's hopes of re-signing Lukaku could also be helped by the goal-scoring habit of Tammy Abraham, who's spent this season on loan at Bristol City and is now just a handful of goals shy of his own stated aim of 30 for the season.
Despite only securing promotion to the CSL last season, Tianjin clearly have lofty ambitions as they are managed by Fabio Cannavaro and already possess Axel Witsel and Costa's former Chelsea teammate Alexandre Pato in their ranks.
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