Tucci studied violin with Luis Vivoli and music theory and harmony with Alfonso de María. His first composition, the zarzuela Carinos de Madre in 1917 premiered at the Teatro Avenida in Buenos Aires. 1919 was followed by the premiere of the symphonic poem in Ramos Mejía Almafuerte. From 1919 to 1923 he worked as a violinist in various theaters and cinemas in Buenos Aires.
1923 moved Tucci in the U.S., where he worked as a composer and arranger of Latin American music. From 1930 to 1941 he worked at NBC. He worked as an arranger for musicians like Laura Suárez, Cándido Boutilho, Julio Martínez Oyanguren, Graciela Párraga, Elsie Houston, Alfonso Ortiz Tirado, Juan Arvizu, Pedro Vargas, Olga Coelho, Marta Pérez, Los Panchos, John Serry Sr. and Eva Garza.
From 1932 to 1964 Tucci was responsible for the shooting of Latin music at the RCA Victor. Between 1940 and 1949 worked as an arranger for musicians Tucci as CBS 's Pan American Orchestra with Alfredo Antonini (Conductor ) and John Serry Sr. ( accordionist ) for Voice of America. He also worked from 1941 to 1947 for the International General Electric and led from 1951 to 1959, the Latin America Division of the Voice of America. He also wrote film scores and was musical director of the Latin America 1942 exhibition at Macy's. Between 1953 and 1957 he composed music for radio broadcasts and documentaries of the United Nations.
1934 and 1935 he worked at Paramount Pictures as the musical director of several films with the tango singer Carlos Gardel, for which he composed tracks like Los Ojos de mi Moza and Sol Tropical and tangos Noche estrellada and Recordando. In the orchestra, with which he accompanied with Gardel recordings for RCA Victor, played musicians such as the violinist Remo Bolognini, Eduardo Zito, Rafael Galindo and Juan Manzo, pianist Abraham Thevenet, bassist Guido Domingo, cellist Vicente Navatta and accordionist Joe Biviano.
Tucci has always been a sought-after partner for Latin American musicians who came to New York. So he worked with Azucena Maizani, Agustín Irusta, Armando Barbé and Daniel López Barreto. In 1969 he published the book Gardel en Nueva York.