Chelsea striker Costa is understood to have agreed a pre-contract deal to make a £25million-a-year switch to the Chinese Super League club this summer.
And he could be joined at the big-spending side by Stamford Bridge team-mate Terry, who is leaving the Blues at the end of the season.
The Chelsea captain is quitting the club in search of regular first-team football, and has had no shortage of offers from at home and abroad.
West Brom and Bournemouth have registered an interest in signing Terry, 36, if he decides he wants to stay in the Premier League.
But ambitious Chinese club Tianjin are ready to come up with a lucrative two-year deal to tempt the former England captain out to the Far East for the final years of his career.
Billionaire club owner Shu Yuhui has claimed his side are close to signing ‘two or three’ big European names, and SunSport understands Terry is one of the players in his sights.
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The defender has still to make a decision on where his future lies, and has not ruled out trying his luck overseas.
Watch the hilarious moment John Terry KOs Victor Moses in Chelsea training in dodgeball matchIf he does make the move to Tianjin he would link up with Italian World Cup winning captain Fabio Cannavaro, who is the CSL club’s manager.
Owner Yuhui wants to make the club one of the biggest forces in Asian football and is prepared to bankroll a massive investment in player wages to improve the side.
Belgium star Axel Witsel decided to snub a host of top clubs in Europe to join them in January, and
Chelsea striker Costa is ready to follow suit this summer.
We told you exclusively last week how Costa had been spotted meeting super-agent Jorge Mendes in a Knightsbridge restaurant to discuss his future.
The 28-year-old is expected to sign a £650,000-a-week deal with Tianjin once this season finishes at the end of this month.