Mezue ahịrịokwu na-esonụ: Oge mbụ ya bụ na ndị otu egwuregwu Uruguay bụ Wanderers de Durazno. Alzamendi gbara bọọlụ maka mba Uruguay na 1986 na 1990 FIFA World Cups, na-agba goolu megide West Germany na 1986. Ọ gbara ọtụtụ afọ maka River Plate nke Argentina, na-emeri ma Copa Libertadores de América na
Egwuregwu Intercontinental Cup na 1986. N'asọmpi Intercontinental Cup ikpeazụ, a họpụtara Alzamendi dịka nwoke nke egwuregwu ahụ wee nweta naanị ihe mgbaru ọsọ nke egwuregwu ahụ na nkeji 28 mgbe ọ gara n'ime net mgbe agba mbụ ya kụrụ osisi ahụ wee laghachi azụ na onye na-eche nche. N'afọ ahụ a kpọkwara ya onye egwuregwu bọọlụ South America nke afọ.