The Italian sports paper claim that United will activate Turan’s £29.1 million release clause to secure his services.
The report goes onto state that United are set to offer the 28-year-old a lucrative four-year deal.
Turan’s agent Ahmet Bulut confirmed earlier this week that his client could be on the move this summer and that he is in talks with three Premier League clubs.
“He intends to leave Spain this summer. It is his will to go out to play in the Premiership, that is where he would like to continue his career at this time,” Bulut told AS.
“His departure from Atletico is not easy because he has a clause of €41m. There are ongoing talks with three teams at the moment. I cannot say their names, but they are the best of England and European football.”
The Turkish international has a contract with Atleti until 2017 and a €40 million release clause which could make prizing away the 28-year-old winger difficult.
Turan became the first Turkish born player to win the La Liga as Atleti won their first league title since 1996 last season and he has also lifted the Europa League, the European Super Cup, the Spanish Cup.