Albrecht was born in Tucumán. He started his career with Club Atlético Tucumán in 1957, and made his breakthrough into the Argentina national team in 1961.
In 1962 he was signed by San Lorenzo where he was part of the 'Matadores' team that won the 1968 Metropolitano Championship without losing a single game. He played 229 games for the club scoring 56 goals. Most of them were by way of penalties, and today he is still hailed as one of the best penalty takers ever.
In 1970 Albrecht moved to Mexico where he played out his career with Club León where he won two Mexican Cups and two Mexican Supercups, he then played for Atlas until his retirement 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.