Tasci has long been linked with a move to Tottenham, but Spurs now face competition for the highly-rated defender.
Juventus, Lazio, Malaga and Arsenal are among the clubs being linked with a move for the 24-year-old.
“Tottenham and two other English clubs are keen on Serdar,” said Tasci’s agent Maurizio Gaudino in The Sun.
“No discussions are yet under way, but it’s down to the interested clubs to speak with Stuttgart and myself.”