The playmaker has made 52 league appearances - netting 11 times - since joining the Madridistas in 2007.
However, following the expensive acquisitions of Kaka, Cristiano Ronaldo, Karim Benzema, Alvaro Arbeloa and Xabi Alonso, Real are open to offers for Dutch quintet Sneijder, Rafael van der Vaart, Arjen Robben, Roysten Drenthe and Ruud van Nistelrooy, while Klaas-Jan Huntelaar has already joined AC Milan.
Sneijder - who has been capped 53 times by his country - has been linked with moves to Chelsea, Arsenal, Tottenham Hotspur, Aston Villa and Inter Milan.
And it is the latter who are reportedly in pole position to snare his signing, with the Nerazzurri believed to be close to agreeing a €7 million deal to take Sneijder on loan for the season, with the option to make the move permanent for an added €13 million next summer.
However, the Dutchman, who partook in the Netherlands' 2-2 draw with England on Wednesday, has reiterated his desire to remain with the 31-time la Liga winners this season, but admitted he would be attracted by a move to Milan should he decide that his future lies away from Spain.
"I don't know anything about a negotiation and I am happy to stay in Madrid," he said.
"There are so many fantastic players, but I'm not afraid. The season is long. To have a problem ahead of the World Cup with the national team is a risk I could take, but for now the priority is to remain in Madrid.
"However, in two weeks everything can change.
"I have heard that Mourinho considers me his first choice.
"He is a great coach that trains a great team. If I decide to leave Madrid, Inter would be a nice option."
NEWS: Sneijder solution close to completion
NEWS: Inter in talks to sign Sneijder
NEWS: Villa reveal Sneijder appeal
NEWS: Sneijder switch to San Siro ruled out
NEWS: Sneijder eyes Real Madrid move
NEWS: Van der Vaart set for switch
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