Kammala jumla mai zuwa: Dora Trepat de Navarro ta fara wasan chess a cikin kulob din chess na Buenos Aires "Club de Ajedrez Jaque Mate de la Capital Federal". Daga 1935 zuwa 1939 kuma daga 1954 ta yi aiki a matsayin mai koyar da wasan chess a kulob din "San Lorenzo de Almagro". Daga ƙarshen 1930s zuwa farkon 1960s Dora Trepat de Navarro na ɗaya daga cikin manyan 'yan wasan chess mata na Argentina. A shekara ta 1938, ta lashe gasar zakarun mata ta Argentine ta farko. A cikin 1939 Dora Trepat de Navarro ya shiga cikin
Gasar Cin Kofin Duniya ta Mata a Buenos Aires kuma ta ɗauki matsayi na 12 (Vera Menchik ce ta lashe gasar). Ta sau biyu ta zama ta 3 a Gasar Cin Kofin Duniya ta Mata ta Kudancin Amurka (1954, 1966). A cikin 1964, Dora Trepat de Navarro a karo na ƙarshe ya lashe Gasar Gasar Chess ta Mata ta Argentina.