Manchester United as completed the signing of the Chilean team mate, Alexis Sanchez and would now hope to strengthen their midfield with a powerhouse like Vidal.
The Chilean press is reporting that Manchester United has already made their move for the midfielder.
Sanchez and Vidal play together for Chile, and won the Copa America together in 2015 and 2016.
Vidal is currently under contract at Bayern Munich until 2019, but there are suggestions he could move on this summer.
United are said to be potential suitors, but Chelsea are also interested and the midfielder has offers from China and Italy.
Vidal was also a team mate of Paul Pogba at Juventus.