The experienced winger is not expected to make a decision on his future until after the European Championships.
Nani has been attracting interest from across Europe following rumours that he has fallen out of favour with Fenerbahce boss Vitor Pereira.
Inter are reported to have agreed personal terms with Nani after offering €3.2 million per season according to the Fanatik.
The same report claims that Everton are also interested in activating the Portuguese international’s €8.5 million release clause.
United would end up paying more for Nani than they sold him for last season if they were to bring him back over the summer.
Nani still has another two-years remaining on his current contract and scored 13 goals while providing 12 assists last season.