Škrobáková was born in Hodonín. As a junior athlete, she competed in the 400 metre hurdles at the 1999 World Youth Championships and the 100 metre hurdles at the 2000 World Junior Championships, but failed to reach the final round in either event. She then won the bronze medal at the 2001 European Junior Championships in a wind-assisted 13.30 s. Her personal best time in 2001, her last year as a junior, was 13.52 s, achieved in July 2001 in Jablonec nad Nisou.