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. At the end of his second career he was assistant coach at AEK, Omonia Lefkosia and Atromitos.
He was capped 6 times for Greece.