He studied art in Spain for seven years and then lived in Mexico for eight years, during which time he was a professor at the Universidad de las Americas in Puebla, Mexico.
Due to this connection with Mexico he is as times described as being from Mexico. Several museums in Argentina, Spain and Mexico, including the Museum of Church History and Art have works by Cocco in their collections. Among his more widely produced works is "Nobility of Work" showing King Benjamin toiling in the soil.