The Mirror says the Blues have contacted midfield dynamo Sneijder via third parties at the Dutch HQ in South Africa after Mirror Sport revealed United wanted him.
Sneijder has been made aware Chelsea will match any United offer and increase his wages to land a player that owner Roman Abramovich is willing to break the bank for.
United made an approach for Sneijder, 26, after being tipped off that he was interested in a move, and Sir Alex Ferguson rates him as his No.1 target.
Inter president Massimo Moratti has admitted to United’s interest and have not slammed the door shut in case new boss Rafa Benitez has other plans or a massive offer comes in.
United would want to pay around £25million, but Chelsea are capable of going well beyond that.