La siguiente es la nómina de los presidentes que ha tenido el Club Estudiantes Concordia desde su fundación hasta la actualidad:
1944 – 1945 
Dr. Carlos Siburu
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1945 – 1946
Prof. Fortunato A. Montrull
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1946 – 1947
Prof. Sergio R. Gómez
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1947 – 1949
Sr. Carlos M. Ocampo
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1949 – 1950
Sr. Florentino V. Agostini
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1950 – 1951
Sr. Horacio R. Ancarola
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1951 – 1955
Prof. Victorino Barrancos
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1955 – 1959
Sr. Pedro Dell’ Olio
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1959 – 1961
Prof. Victorino Barrancos
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1961 – 1965
Sr. Miguel Ramón Passarella
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1965 – 1967
Sr. Elías Yahía
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1967 – 1969
Prof. Victorino Barrancos
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1969 – 1970
Sr. Miguel Ramón Passarella
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1970 – 1973
Dr. Oscar Velazco
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1973 – 1975
Dr. Roberto Enrique Roble
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1975 – 1976
Sr. Bernardo A. Zorzi
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1976 – 1979
Dr. Horacio Félix Giorgio
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1979 – 1981
Sr. Rodolfo Vicente Dacunda
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1981 – 1982
Dr. Horacio Félix Giorgio
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1982 – 1983
Sr. Benigno B. Berón
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1983 – 1984
Cdor. César O. Calvo
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1984 – 1986
Dr. Roberto Enrique Roble
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1986 – 1989
Sr. Juan Carlos Cristina
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1989 – 1991
Sr. Carmelo Eduardo Noguera
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1991 – 1992
Ing. José Emilio Tito
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1992 – 1995
Sr. Roque Augusto Alvarez
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1995 – 1997
Sr. Emilio Freddy Bertozzi
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1997 – 2010
Sr. Raúl Jacinto René Moreira
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2010 – 2013
Sr. José Luis Torres
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2013 – 2015
Sr. Hugo Rafael Galarza
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2015 – 2021
Sr. Cristian Sebastián Cañete