Fubini was born in Turin. In 1938, he fled the country as a politically persecuted Jew to Switzerland. In 1945, he attended the Lycée in Turin, where he studied physics and in 1950 graduated "cum laude." Afterwards, he was an assistant in Turin. From 1954 to 1957, he was in the USA. From 1958 to 1967, he was at CERN in Geneva. In 1959, he became a professor of nuclear physics at University of Padua. In 1961, he became a professor of theoretical physics at University of Turin. From 1968 to 1973, he was at MIT, but taught summer courses in Turin. He went back to CERN in 1973 and was from 1971 to 1980 a member of the advisory board and had an important role in planning the Large Electron Positron Collider (LEP) as well as in discussions for the construction of the Middle East's Synchrotron, SESAME.