Záhrobská won the gold medal in slalom at the 2007 World Championships and narrowly missed a bronze in the super combined, finishing in 4th place by 0.20 seconds. Two years earlier, she won her first medal at the 2005 World Championships, taking the bronze in slalom while placing fifth in the combined. It was the first World Championships medal for a Czech alpine skier. In the 2006 Winter Olympics, Strachová finished 13th in slalom, 19th in the combined, and 27th in super-G; she did not finish the second run of the giant slalom.