Transportes Ferroviarios de Madrid, S.A. was established in 1997 as a concessionaire of the Community of Madrid for the execution of a public works concession. This included the design, construction ,financing, operation and maintenance of the infrastructure and public transport service for the railway line connecting Madrid and the municipalities of Rivas-Vaciamadrid and Arganda del Rey.

The Company began operating the transport service for the line under concession on April 7, 1999. The line is 18.5 km long and consists of the following stations: Arganda del Rey, La Poveda, Rivas Vaciamadrid, Rivas Futura, and Rivas Urbanizaciones.

The shareholding of Transportes Ferroviarios de Madrid, S.A. is composed of: