Career
Born in Budapest, Uram began playing youth football in Mukachevo. Next, he played senior football for local sides Dynamo Mukachevo and Bolshevik Mukachevo. He signed with ŠK Bratislava in Czechoslovakia before moving to Italy.
Uram signed with Serie A side Lucchese before the 1948-1949 season, but only made seven league appearances for the club
He would join Serie B side Spezia for the next two seasons, leaving for FBK Hungaria in the 1950-1951 season winter break. Uram finished his playing career in the Americas, first joining Colombian side Atlético Junior and then New York Hungaria in the United States.