The fifth-seeded Robredo had little trouble in defeating the third-seeded Fognini in a 6-0, 6-3 victory that took just a little over an hour to finish.
Fognini had his winning streak of 13 straight matches snapped as he came into the tournament having won consecutive titles at the Mercedes Cup and the German Open Tennis Championships, the first two titles of his career.
Robredo was presented with the winning trophy by Croatian President Ivo Josipovic.