On 21 April 2010 Sylva joined the cabinet of Rafael Correa as Minister of Culture, replacing Ramiro Noriega. At the ceremony of taking office she declared that one of her main objectives would be to promote cultural change among Ecuadorians. She stated: "It is necessary to promote cultural change, new values, a new vision of who we are, to fight racism, elitism, and to promote interculturalism among Ecuadorians, both women and men".[4] In March 2012 it was announced that Sylva would start a project to support a culture of peace in the border area with Colombia. The goal of the project was to activate social cohesion and fight the social disintegration coming from the conflict-ridden Colombian side of the border.[5] In June 2012 she received the decoration of "Honoring Honor" by the José Martí Council for World Solidarity, a project ratified by UNESCO whose objectives are, among others, to acknowledge and consolidate Latin American roots. She got her decoration for strengthening the historic ties between the peoples of Ecuador and Cuba.[6]
In a document by Sylva and Rafael Quintero, Undersecretary of Foreign Affairs, it was claimed that the Confederation of Indigenous Nationalities of Ecuador (CONAIE) has been conspiring against President Rafael Correa since 2009 to destabilize the constituent process of Ecuador. The authors furthermore claimed that CONAIE was working together with extreme right and financial help from institutions in the United States. Furthermore, it was also claimed that the indigenous movement together with the teachers union has become part of the corporatist political left. This would express itself by defending private interests and being neoliberal in nature.[7] The CONAIE however claims to fight against these very neoliberal causes themselves. Relations between the Ecuadorian government and CONAIE have been tense since the 2010 Ecuador crisis.
On 9 May 2013 Francisco Velasco replaced Sylva as Minister of Culture. By a reshuffle of the ministries the Ministry of Culture joined with the Ministry of Heritage.[8]