Throughout his career, García Velarde has held visiting or invited positions at the universities of Paris-Sud, Pierre and Marie Curie, London, Aix-Marseille, Grenoble, Huazhong, Sofia, Stanford, Cambridge, UC Berkeley, UC Santa Barbara, UC Irvine, Paris-Est Marne-la-Vallée, Libre de Bruxelles, Norwegian of Science and Technology and East China Normal, apart from institutions such as Los Alamos National Laboratory, the Saclay Nuclear Research Centre and the International Center for Mechanical Sciences, of which he was rector from 2002 to 2004.