The Manchester Evening News says United's on-off complicated pursuit of Sneijder is becoming an urgent priority with 45 days left of the summer transfer window.
Darren Fletcher’s illness problem that forced him to stay behind while the Reds went on their US tour has made the chase for the Dutch ace more pressing.
The Scottish midfielder is now highly unlikely to make the start of the season for the champions.
His serious virus cost him 12 matches last spring and the 27-year-old suffered weight loss.
Fletcher’s troubles have upped the ante in the pursuit of playmaker Sneijder.
Despite manager Sir Alex Ferguson distancing himself from the convoluted pursuit of Sneijder the Reds hierarchy are working on the deal.
Inter Milan insist they want the 27-year-old to stay at the San Siro but it is believed if the Reds were to bid £35m the door would open.