Rozsa won her first points in the World Cup on March 19, 1995 with 15th place in the slalom in Bormio , which also remained her best World Cup result. In the following three years she achieved a place in the fastest 25 five times; but mostly she could not qualify for the second round. In the Nor-Am Cup Rozsa won numerous races and in the European Cup she achieved several podium finishes. In 1994 she became Canadian champion in giant slalom, in 1995 and 1997 in slalom.