The Dutchman has not played for the Serie A giants since September, as a dispute surrounding a pay-cut rumbles on.
Sneijder is reportedly unwilling to agree to the terms being put forward by his employers, which could see him make a cut-price January exit.
Premier League rivals Manchester United, Manchester City and French big spenders Paris Saint-Germain were thought to be leading the race for his signature, but Spurs have emerged as latest team to register an interest.
Italian newspaper Gazzetta dello Sport believe that Andre Villas-Boas sees the 28-year-old as the ideal man to fill the void left by Luka Modric, who joined Real Madrid over the summer.
AVB drafted in the likes of Moussa Dembele and Gylfi Sigurdsson to replace the Croatian, but, as of yet, the duo have failed to provide the required creativity.
A bid of £8m is thought to be enough to tempt Inter Milan to part company with the midfielder, a fee considerably lower than the speculated cost of Joao Moutinho, with whom the White Hart Lane club have been strongly linked.
Sneijder began his career at Ajax, before joining Real Madrid in 2007.
A turbulent two-year spell in the Spanish capital was brought to an end during 2009, as Inter paid just over £10m for his signature.