Tianjin, who are now seventh in the Chinese Super League table after the opening five games of the season, are managed by Italian legend Fabio Cannavaro and snapped up Brazil striker Alexandre Pato for £15 million from Villarreal in January.
However, their owner, Shu Yuhui has confirmed that talks to take Costa to China are still continuing. "And we have already made contacts with several players", he told Sina Sports.
Rumours that Costa had been offered a staggering £30million-a-year move to China continued to do the rounds and it looked as if the 28-year-old was all for the move.
Any deal is likely to be extremely lucrative, with some reports suggesting that Tianjin could make Costa the world's highest-paid player with a £650,000-a-week contract.
He's gone five games without a goal since netting against West Ham in March, his longest Premier League goal drought all season.
Costa is in the prime of his life and has scored 17 Premier League goals this season.
Costa is contracted to Chelsea until the summer of 2019, with the striker earning around £150,000 (HK$1.5 million)-a-week with the London club.
"In the meantime, these players show more interest in joining the clubs like Bayern and Real Madrid".
"We may have to pay bigger price because our club are now competing with Real Madrid and Bayern Munich". "It's safe to say that we have the same transfer targets as those illustrious clubs".
Whether that's with or without Costa remains to be seen, but one thing is for certain.