Costa, 24, has long-been linked with a move to Chelsea, with the Guardian reporting the club’s interest in his signature before the then-teenager made the €6 million switch to Ukraine in 2010.
With Shakhtar on tour in South America at present, Costa told Globo: "It's a dream to play at Chelsea, it's a unique chance. I will try to negotiate."
Lining up alongside compatriot and current Chelsea star Willian during his first four seasons at Shakhtar, Costa has recorded an impressive 35 goals and 38 assists in 186 total appearances for the Ukrainian champions.
The two-time capped international was expected to move on in the summer, having been among the club’s Brazilian continent who refused to return to Ukraine at the time amid the political unrest, but a deal failed to materialise.
Nevertheless, the likes of Manchester United and AC Milan were among the interested parties, according to Sky Sports, with Costa telling Gazzetta dello Sport in August: “If an offer arrived, I would take it immediately.
“I am grateful for everything Shakhtar have done for me, and if I stayed I would keep on giving 100 per cent.
“But I think I am ready for a big club.”
It looks like Costa could be set to get his wish if reports are to believed, although Chelsea will first have to ship out one of either Mohamed Salah or Andre Schurrle in the coming week to accommodate his potential arrival.