Rigani was born in Argentina on January 7, 1949, the son of a football player and coach by the same name. He played in Argentina for C.A. Atlanta before coming to Greece and PAS Giannina in January of 1973. In Greece, he took on Greek citizenship and the name Kontogiorgakis. He played for PAS between the years 1973 and 1985 with a one year break in 1984 when he joined Kerkyra FC.