Once out of jail, he was nominated on June 1, 1936 at the National Conference of the party as Vice Secretary-General, and acting chief of the Communist Youth wing.
Adda was arrested again in 1952 by the French colonial authorities, and with other Destour and Communist leaders was sent to internal exile in Southern Tunisia.
He later wrote about this period:For the liberation of my country, I experienced prisons, concentration camps and deportations by the French colonialists.
For many years he remained an important leading member of the party and the managing editor of its French-speaking weekly, L'Avenir de la Tunisie ("Tunisia's Future").
[1] Adda died of a heart attack, and was buried at the Borgel Jewish Cemetery where his wife Gladys and his son were already interred.