
Sigma Iota fraternity was founded in Baton Rouge, Louisiana, on March 2, 1912, previously known as the Sociedad Hispano Americana, which was founded in the University of Louisiana in 1904. Īfter ΦΛΑ was organized, other societies joined it: the "Club Latino-Americano", founded in 1919 at Colorado School of Mines the "Federación Latino-Americana", founded in 1926 at Columbia University and which joined in 1928 the "Club Hispania" of Cornell University, founded in 1929, and which joined in 1931 the "Club Hispano-Americano" of Tri-State College in Angola, Indiana, founded in 1921, and which joined in 1929, and the Alfa Tenoxtitlan Militant chapter (founded in 1929) whose members had come from the former ΦΛΑ society in Mexico City, Mexico. This last one was the first Latin-American student society formed in the USA A group of Latin American students organized the Unión Hispano Americana (UHA) as a cultural and intellectual secret society based on the ideology of Pan-Americanism. The fraternity was the result of a merger of three societies: Pi Delta Phi Fraternity at Massachusetts Institute of Technology (MIT), founded in 1916 Phi Lambda Alpha Fraternity, founded in 1919 at the University of California, Berkeley and the Unión Hispano Americana, founded in 1898, at Rensselaer Polytechnic Institute, Troy, New York.

Phi Lambda Alpha fraternity was founded at the University of California, Berkeley, in 1919.

Phi Sigma Alpha traces its origins to a number of organizations including Phi Lambda Alpha.
