Career
Ulich, a midfielder, has played for Slavia Prague, Borussia Mönchengladbach, Vissel Kobe and Dynamo Dresden. He retired from football in 2008, but has stayed with Dynamo Dresden as a scout. Ulich spent most of his Gambrinus liga career at Slavia Prague.
He currently plays futsal for Slavia.
He played internationally for the Czechoslovakian Republic.