In 1938 he participated in the VI Floating Congress of the Pan American Medical Association in Havana, Cuba, where he presented a scientific article on the permanent cure of uterine cervical cancer, again achieving international recognition and projection. He visited the Cancer Institute, the Radium Institute, the Mercedes Hospital, the National Anticancer Association and the League Against Cancer of Cuba (1925-1959). Dr. Gonzalez was impressed by the organizational model used, which consists of a non-profit organization based on volunteerism accompanied by an action plan for public relations, education and fundraising. That is when he decided to implement the same system in Puerto Rico.

Upon his return to Puerto Rico, he meets with key people, a group composed of: Mrs. Jane Nicole de Mariani, Mrs. María M. de Pérez Almiroty, Mrs. Marcolina M. de Fernández Náter, Rafael Cuevas Zequeira, Jorge L. Córdova, Dr. J. C. Ferrer, Dr. J. H. Fond and Jorge del Toro, as well as other people of high civic spirit.