The Daily Star Sunday says the Dutch midfielder, 28, is close to moving to Galatasaray after a contract row with his Italian club, who want him to take a cut on his £200,000-a-week deal.
But Sneijder would prefer a move to the Premier League and top clubs in this country have been sounded out.
He is under contract at Inter for another two years but was asked to take a pay cut to help the club’s cash-flow problems.
When he refused to do that Inter decided to get him off their payroll.
Liverpool are now working out how to add him to theirs in what would be a Kop coup.