Albrecht was born in Tucumán. He started his career with Club Atlético Tucumán in 1957. In 1960, he was signed by Estudiantes, where he excelled and, thus, was called to play for the Argentina national team in 1961.
In 1962 he was transferred to San Lorenzo for 10 million pesos, a huge amount for those days. In San Lorenzo, he was part of two famous teams, the 'Carsucias' in 1964 and the 'Matadores' in 1968. The 'Matadores' team won the 1968 Metropolitano Championship without losing a single game. He played 229 games for the club, scoring 56 goals.[1] Most of them were by way of penalties.
In 1970 Albrecht moved to Mexico. He first played with Club León, helping the team win two Copa México and two Campeón de Campeones super cups. He then played for Atlas, where he retired from football in 1975.
Albrecht played a total of 506 top flight games in his career, scoring a total of 95 goals, putting him in 7th place on the IFFHS list of top scoring defenders.[when?][citation needed]