 Cardozo scored his first goal of the 2004 División Intermedia season in a 1–0 away victory against Cerro Corá in Round 6 on 2 May, with 3 de Febrero continuing an undefeated run.One week later, Cardozo scored a double against Sportivo San Lorenzo in a 2–0 home victory on 7 May.In the following round, 3 de Febrero suffered their first defeat of the season after 8 eight rounds in a 1–0 away defeat against General Caballero, however, consistent results continued as Cardozo scored in a 1–1 draw in the Superclásico of Alto Paraná against Cerro Porteño PF one week later on 23 May.