Gonzalez akahwina menduru yesirivheri pamakwikwi eWorld Championships muna 1987 achitevera Abdi Bile, uye akahwinawo menduru yesirivheri yeIAAF World Indoor Championships muna 1985 na1989. Akaonekwa kashanu paIAAF World Cross Country Championships, achitanga nemenduru yesirivheri yejunior muna 1975. Akakwikwidza kuEuropean Athletics Championships muna 1986 na1990, uye aive shasha kanokwana katanhatu kuEuropean Athletics Indoor Championships. Pakati pezvimwe zvikomborero zvake zvepasi rose pane menduru yesirivha paMiddle Mediterranean Games ya1983, uye anokunda paEuropean Cup ya1987.
uye 1983 Ibero-American Championships muAthletics. Akanga ari mukwikwidzi wenyika yeSpanish kanomwe, achikunda mazita mana e1500 m uye korona ye5000 m kuSpanish Athletics Championships, pamwe nekukunda kaviri kuSpanish Cross Country Championships.