The Sunday Mirror reports that United are ready to make an attempt to sign the Dutchman.
The 26-year-old has signed a new contract that will keep him at the San Siro until 2015, but United are still keen to make a move.
United boss Sir Alex Ferguson is keen to bring in Sneijder as a long-term replacement for Paul Scholes.
Inter president Massimo Moratti said: “The interest from Manchester United in Sneijder is real, but I didn’t look into it. My only interest is seeing Sneijder play here for many more years to come.”