And Nani, who will be forced even further down the midfield pecking order at United with the £16m arrival of Ashley Young next week, could be offered to Inter as bait to land Sneijder.
Nani enjoyed his best season at United last term. His nine goals and 18 assists in the Premier League were capped by his team-mates selecting him as their Player of the Year.
However, the 24-year-old is said to be open-minded about the prospect of leaving Old Trafford this summer after losing his place to Antonio Valencia towards the end of the season.
Although Sneijder's £175,000-a-week wage demands and Inter's asking price could ultimately scupper any deal, United are said to be exploring every possibility - which could include Nani going the other way in part exchange.