Spurs reportedly had a £7m bid for the 19-year-old knocked back over the summer as Santos aimed to tie down the youngster to a new long-term contract.
But the report claims negotiations between player and club have stalled without agreement, leading to fresh interest from European clubs.
Sevilla are believed to have had a £600,000 offer rejected last week - Santos risk losing Neilton for a cut price fee in January if they fail to agree a new contract.
And he could even leave for free next summer when his current contract expires as reports in Brazil claim Santos and Neilton remain far apart on proposed terms.
Neilton is thought to be holding out for £60,000-a-month while the Brazilian club are only willing to offer the 'new Neymar' £18,000-a-month.
He's scored four goals in 12 appearances this season, and was thought to be on Andre Villas-Boas's radar as the Spurs boss considered striker targets.
The White Hart Lane manager was reportedly willing to offer up to £7m for the teenage forward, but Tottenham could snap him up for much less if the contract impasse continues.
Still, Santos remain confident they can persuade their hottest new talent to remain at the club, pointing to the experience of Neymar, who flourished before earning his £50m to Barcelona.