The report claims that Barcelona are willing to accept lower than the €34 million they paid for him last summer. In fact they would even consider offers two-thirds lower than what was paid for the 29-year-old.
Sport meanwhile claim that Bundesliga giants Borussia Dortmund have made an enquiry regarding his availability.
Turan was never played in either Germany or England before but he was closely linked with a move to the Premier League prior to joining Barcelona.
The Turkish international winger does have another four-years remaining on his current contract and has revealed that he wants to stay and fight for his place in the team.
Turan miss the first half of last season due to the FIFA transfer ban but will be available from the star of the campaign this time around if he does stay in Spain.