He then embarked on an ambitious plan to construct the magnificent Art Deco Edificio Bacardi de la Habana. The building attracted American tourists in large numbers, who flocked to Cuba to drink BACARDI Cocktails and the BACARDI Mojito Cocktails. The BACARDI Cocktail was later the subject of a New York court ruling that established the right that when you ask for a BACARDI Cocktail or any other BACARDI drink by name, it is BACARDI rum you must be served.

In 1927, Henri Schueg diversified the Company into HATUEY beer and continued to expand Bacardi to Mexico (Bacardi y Compañía S.A. de C.V. in 1931), Puerto Rico (Bacardi Corporation of America in 1936), and the United States (Bacardi Imports, Inc. in 1944).

After his death, in 1949, Henri's son-in-law, who had previously served as Cuba's Minister of Finance, José M. "Pepín" Bosch, was elected as the fourth president of Compañía Ron 'Bacardi' S.A. Pepín continued his father-in-law's expansion of the Company by building state-of-the-art facilities in Cuba for HATUEY beer (Modelo Brewery in 1947 and Central Brewery in 1953), for BACARDI rum in Mexico (La Galarza Distillery in 1956, Tultitlan Bottling Plant in 1958) and Puerto Rico (1960). For some of these construction projects he commissioned world-renowned architects such as Felix Candela and Ludwig Mies van der Rohe. When inaugurating the Puerto Rican facility, Governor Luis Muñoz Marín, christened the newly built distillery as "The Cathedral of Rum."