Costa stated that his former Atletico Madrid teammate makes an excellent kebab and that when Turan had food everybody would visit his house.
“He introduced us all to Turkish food. I really liked his kebabs and when he had food everybody would hover around his house for some,” Costa said.
Chelsea are currently the bookmakers favourite to sign the 28-year-old with Betvictor giving the Turan odds of 1.33 to sign for the London-based side.
Turan played alongside Costa at Atleti before his move to Chelsea last season. Fellow teammates Filipe Luis and goalkeeper Thibaut Courtois also joined the Blues last summer.
The Turkish international would become the fourth member of the La Liga winning Atleti side to join the London-based club should he join over the next few days.