He was born in Buenos Aires, the federal capital of Argentina, in June 24,1933. His parents were both of Eastern European Jewish origin. His father, Isaías Félix Falicov, was born in Argentina whereas his mother, Dora Samoilovich, emigrated to Argentina with her parents at an early age.
Falicov attended the Colegio Nacional de Buenos Aires and then move on to pursue career in chemistry and physics at the Faculty of Sciences at the University of Buenos Aires. He then went to the newly created Institute of Physics, later named Instituto Balseiro Bariloche. He completed his doctorate in physics from the University of Cambridge England in 1959 where he studied with Professor Volker Heine. He then became professor at the University of Chicago. In 1959 he married Martha Puebla,an artist, who drew his famous "Magnesium Fermi Surface" known as the "Monster of Falicov" which he developed in his doctoral thesis.
In 1969, he moved to Berkeley to work on the university, heading the department from 1981 to 1983.  Falicov was a member of the National Academy of Sciences of the United States, the Royal Academy of Sciences and Letters of Denmark, and the Academy of Exact, Physical and Natural Sciences of Argentina. He was a member of the American Physical Society, the Institute of Physics (IOP) and the Academy of Sciences for the Developing World.
[1.]Manuel Cardona, Marvin L. Cohen, Steven G. Louie. «Leopoldo Maximo Falicov» (pdf). Biblioteca Leo Falicov.
[2.]«Leo Falicov Student Award». American Vacuum Society.
[3.]«Leopoldo Falicov». Associated Press (31-01-1995).