According to the Spanish outlet Sport, Turan is the only international player who participated in Euro 2016 to be asked to return on Monday.
The 29-year-old will join the first team squad in England to take part in the pre-season training camp and is expected to play against Celtic in Dublin on July 30.
Mundo Deportivo have reported that Barcelona will listen to offers for Turan that match their £20 million valuation. Both Chelsea and Arsenal are reported to be in the race to sign the Turkish international.
Turan has another four-years remaining on his contract with Barcelona. However, the Turkish international revealed that he was looking for a house in the city in an interview with Hürriyet back in March 2015.
“I am thinking about buying a house in London nothing too fancy something like a 180 square meter flat I just would like a place in London,” Turan said.