The Premier League side have already made a move for the Portuguese's teammate.
Tottenham Hotspur have been linked with the 27-year-old.
Sporting are also not ready to sell him at the £13 million quoted.
The Portuguese international has gone to the top of Mauricio Pochettino's wanted list.
Everton have reportedly contacted the agent of Sporting star Adrien Silva.
A select round-up of the latest news relating to Everton…
The Blues are reportedly eyeing a move for the Sporting Lisbon midfielder.
Sporting Lisbon midfielder Adrien Silva is reportedly being targeted by Premier League duo Tottenham Hotspur and Southampton.
Adrien Silva has revealed that he spurned the chance to move to Stamford Bridge as a 16-year-old.