The first known record of Drogo's racing career is a first place finish in the 1956 Premio Nacional Ciudad de Maracay, although this may not have been the first event in which he participated. Drogo's racing career included numerous regional sports car races in Latin America, as well as international races such as the 1958 24 hours of Le Mans and the 1959 Targa Florio. He also drove in the 1960 Formula One season, including an 8th place finish at the 1960 Italian Grand Prix as well as several non-championship races. He scored no Formula One championship points.