The former-Real Madrid star has long been linked with a move to Manchester United, and it now seems Sneijder could be frozen out at the San Siro if he refuses to accept a reduction to his £200,000-a-week wages.
The Holland international has reportedly rebuffed Inter's first attempt at negotiations, and club director Marco Branca has issued an ultimatum to Sneijder - he will not be involved in the first-team until he accepts the terms of a less extravagant wage deal.
Sneijder was left out of the squad to face Parma this week, and Branca issued a statement on the Inter Milan website.
Branca said: "We've been negotiating with him for a while and we need to modify his contract.
"We want to give him time to think about it and so we wont be using him for the time being."
The 28-year-old helped Inter to win the Champions League in 2010 under Jose Mourinho, and was rewarded with a five-year £200,000-a-week deal that same year.
But Inter, who currently lie third in Serie 'A', have been forced to cut back this season to avoid financial difficulty.
Sir Alex Ferguson was thought to be interested in Sneijder in the summer, but the report claims the Manchester United boss was put off by the Dutchman's wage demands.
The skilful playmaker is believed to be one of Inter's highest earners. And the club's head coach, Andrea Stramaccioni, has distanced himself from the dispute, which could end up driving Sneijder from the club.
"Obviously, I hope the situation can be resolved as soon as possible," said Stramaccioni. "I speak daily with both Wesley, and with the president. So I know the situation. I think the issue is simpler than people think.
"Over the sumer the club decided to have some very clear guidelines that we wanted to use throughout the transfer campaign.
"I have enormous respect for Wesley as a player and a man, but right now my position as the coach is not to select him for the good of the club."
If Sneijder does become available in January, most top clubs in Europe would look at the former-Ajax star, including Manchester United. But with a contract until 2015, Inter Milan could be expected to drive a hard bargain for one of their prize assets.