He was a deputy mayor of Sant Cugat del Vallès, a municipality in north-eastern Spain, before being appointed Minister of Territory and Sustainability in June 2018.

[4] Calvet taught at the UPC's Building Project Management Master's Program and was in charge of Institutional Relations at the United Nations University in Barcelona from 1992 to 1995.

[3][4] Calvet was Chief of Cabinet for the Minister of Territorial Policy and Public Works from 1997 to 2001 and Director-General of Architecture and Housing at the Generalitat de Catalunya from 2001 to 2004.

[3][5] He was president of Centrals i Infraestructures per a la Mobilitat i les Activitats Logístiques (CIMALSA), a company owned by the Generalitat and responsible for promotion, development and management of infrastructures and centres for the transport of goods and logistics.

[7] On 19 May 2018 newly elected President of Catalonia Quim Torra nominated a new government in which Josep Rull, who was in jail, was to be Minister of Territory and Sustainability.