Romo Chávez was born in Jaral del Progreso, Guanajuato on 11 September 1911. His father was a railway worker, so his family constantly moved from one city to another around Mexico. Shortly after Alberto was born, the Romo Chávez family settled in Aguascalientes.[2][3]
He moved to Mexico City and started his professional career in the Mexican League in 1932 with Obras Públicas. He played with Obras Públicas for one more season, for Monte de Piedad from 1934 to 1935, for Agrario from 1936 to 1938, for Indios de Anáhuac in 1939 and from 1940 to 1946 (except the 1945 season) for Diablos Rojos del México. According to special compilations (the Mexican League started compiling statistics in 1937), Romo Chávez had a 69–22 record from 1933 to 1936 and a 46–36 record from 1937 to 1946.[4]
Aguascalientes baseball stadium, Parque de Béisbol Alberto Romo Chávez, home of the Rieleros de Aguascalientes since 1975, was named in his honor. The ballpark, originally inaugurated on 20 April 1945 with the name Estadio Aguascalientes, was re-inaugurated on 25 August 1957 and renamed after Romo Chávez. The name was chosen in a poll conducted by El Sol del Centro newspaper.[3][6]