Silvestre planned on becoming a professional tennis player, before suffering injury in a Hungarian tournament. He later decided to study kinesiotherapy until his aunt introduced him to the world of theatre.
Silvestre studied drama, physical theatre, modern dance and acrobatics before winning the Mister Castellón 2002. Silvestre stars in the Pedro Almodóvar film I'm So Excited and in the Spanish horror thriller Verbo. He also stars in the Spanish series, 'Velvet' as Alberto Marquez. In 2015, the high profile English-language Netflix drama Sense8 was released, in which Miguel plays one of the lead characters, a closeted gay telenovela star named Lito Rodriguez, who is of Spanish origin and lives in Mexico City with his boyfriend.