The Colombia international, who signed from Barcelona in August, made his Premier League debut as a substitute against Brighton last weekend, but replaced Kurt Zouma and played the full 90 minutes at Chelsea on Sunday afternoon.
Mina was named man of the match by Sky Sports as he helped his side to a 0-0 draw at Stamford Bridge and his manager was full of praise at full-time.
"He did everything I expected," Silva said.
"It was his first official match in maybe three or four months and he showed his quality.
"He is very good on the ball and he is a player who will give us quality on the ball. Even without the ball he did what we planned, our defensive organisation and process.
"I think he did really well."
Marcos Alonso hit the post and Alvaro Morata had a goal ruled out for offside as Chelsea failed to score with any of their 15 shots in the game.