Vargas is Professor of Law at the University of San Diego School of Law, where he has been teaching,
inter alia, Mexican Law, comparative law, the Mexican legal system, and NAFTA law since 1983. He has authored numerous books and law review articles in Mexico and the United States.
Professor Vargas has been a Legal Advisor to the government of Mexico and Professor of Law at UNAM, Iberoamericana, and Anahuac Universities in Mexico City. He has also served as consultant and expert witness on Mexican Law in important cases in the areas of civil aviation, contracts, environmental law, foreign investment, insurance, personal injury, real estate, and telecommunications.