The defender joined the Nerazzurri on loan from Palermo during the summer but has struggled to secure a regular starting berth at San Siro.
Silvestre’s representative Eugenio Ascari has revealed that other Serie A sides have been rejected, as the former Boca Juniors starlet is desperate to play his football at San Paolo.
"He has refused moves to Genoa and Atalanta," Eugenio Ascari told Radio Crc.
"His ambition is to play for Napoli, which is why he refused the two teams just mentioned."
The Partenopei are second in Serie A having seen their points deduction over a match-fixing scandal erased, while Inter sit fourth - four points behind the Naples club and seven adrift of leaders Juventus.