In 2002 Škrobáková recorded 8.28 s in the 60 metre hurdles, in February, and 13.46 s in the 100 metre hurdles, in June. She competed at the European Indoor Championships and the European Championships, without reaching the final. In 2003, she lowered her personal best time to 13.15 s at a meet in Bydgoszcz. Further improvements came in 2004, when she improved to 8.07 s and 13.08 s in the 60 and 100 metre hurdles. She competed at the World Indoor Championships as well as the Olympic Games, but again she failed to progress past the first round. She did reach the semi-final at the 2005 European Indoor Championships, and during the summer of 2005 she improved her personal best slightly, recording 13.07 s in June in Prague.