Georgamlis was born on February 25, 1962. He started his career as a defender at AEK in 1980 and remained with the club until 1985, when he transferred to cross-town rivals Panathinaikos. In 1992, he joined OFI for two seasons.
After his playing days were over, Georgamlis coached a number of clubs including Ethnikos, Thrasyvoulos, Asteras Tripolis, Panaitolikos, Ilisiakos and Fostiras. He is currently (2011) assistant coach at Omonia Lefkosia.