Francisco Antonio Vargas Fontecilla (Santiago of Chile, April 27, 1824 - ibidem, December 10, 1883) was a Chilean lawyer and Liberal politician.

He studied at the National Institute, where he was sworn in as a lawyer on April 19, 1847 and five years later, in 1852, he entered the Faculty of Humanities in University of Chile.

He was once again parliamentarian for the aforementioned districts in 1864-1867 and was a member of the permanent commission on Constitution, Legislation and Justice.

In his early days as a parliamentarian; President José Joaquín Pérez Mascayano appointed him Minister of the Interior and Foreign Affairs (September 1867 - October 1868) and later Minister of Justice, Worship and Public Instruction (April 30 - August 2, 1870).

In the downtown sector of the city of Santiago de Chile, in the commune of Quinta Normal, at the beginning of the 20th century; a street with its name, Vargas Fontecilla.