The report claims that the reigning La Liga champions will listen to offers for Turan over the summer.
Barcelona want £26 million for the Turkish international who still has four-years remaining on his contract.
The Daily Star report that Turan is top of Jose Mourinho’s transfer shortlist and AS claim that Arsenal are also considering a bid.
Turan’s agent Ahmet Bulut however, told Marca that he expects his client to stay at Barcelona over the summer.
“There have been no offers from China he is just concentrating on the Turkish national team and after the Euro’s will return to Barcelona for pre-season,” he said.
Turan struggled for playing time towards the end of the season playing just 46 minutes in Barcelona’s last four league games.
The bearded winger did however, miss the first half of the season due to the FIFA transfer ban imposed on the club and did make 25 appearances scoring twice and providing four assists since making his debut in January.