Sneijder, who has been a long-term target for United, has seen his Inter Milan career falter this season and has made just 15 Serie A appearances to date.
Inter have gone through a succession of managers this term and currently sit in lowly seventh position with four games remaining.
The former Real Madrid man is likely to be available this summer, although the Daily Star claim that United may be put off by the lofty £40 million Inter are reportedly demanding, allowing Russian outfit Anzhi Makhachkala to swoop in and make a bid.
However the paper reports that Sneijder would prefer a move to the Premier League and would like to continue playing in the Champions League, putting United in the driving seat for his signature.
United were keen on bringing a ball-playing midfielder to Old Trafford last summer with Paul Scholes retiring from the game, but reportedly baulked at the fee involved.
Although Scholes returned from retirement mid-way through the season to help guide United to the brink of a record 20th league title, manager Sir Alex Ferguson is said to still be keen on Sneijder and could move to bring him to Old Trafford in the summer.
A move for the Dutchman may be financed by the sale of record signing Dimitar Berbatov, who joined the Red Devils back in 2008 for £30.7 million, although the Star references a source in Italy that quotes a price of £40 million, adding that he ‘won’t be allowed to leave on the cheap’.