Prior to joining the University Network, Galván served for a decade as a human rights specialist in the Executive Secretariat of the Inter-American Commission on Human Rights (IACHR).  At the IACHR, Galván until recently held the post of Coordinator of the Human Rights Monitoring Section that oversaw the the rights of persons deprived of liberty, the rights of migrants and the rights of children. Galván also oversaw rights monitoring for 17 countries in the Western Hemisphere, including Cuba, Haiti, the United States and countries in the Anglophone Caribbean. Galván spent five years coordinating the work of the Rapporteurship on the Rights of Persons Deprived or Liberty.

Prior to joining the staff at the IACHR, Galván was the Director for Mexico and Central America of Disability Rights International. In addition to establishing the regional office, she designed litigation and impact strategies at the national and international level to strengthen protections for persons with disabilities. Galván served as a visiting professional with the Inter-American Court of Human Rights.

Galván trained in law at the Mexico’s leading law school at the Universidad Nacional Autónoma de México (UNAM) and earned her LL.M. at the University of Notre Dame, where she received a full scholarship. In the coming semester, she will teach on the Inter-American human rights system at the University of California at Berkeley School of Law. Galván is also a professor of penitentiary law in the master's degree program at the University of Barcelona. Galván has given talks and conferences in scores of events in the United States, Latin America and Europe. She also received the National Youth Award in Human Rights, the highest public honor conferred by the Government of Mexico, recognizing Mexican someone whose career has improved the community and inspired youth to promote justice.