The midfielder's deal is due to expire at the end of next month.
Silva said: At the end of the season like I did with him last season we are going to analyse the season and see together.
It's what he would like to do. Of course, we respect that. Me, myself (and) Fulham would like him to have another season with us."
Fulham have also offered Kenny Tete a new deal.
Silva said: There are three (possible) solutions for him. We have been talking with him. Some moments the conversations were more hot at moments close, at moments not so close.
We have an option in the contract that we can trigger. (Between) us and Kenny, we are going to come to a decision."