Skaldina's breakthrough came at the 1988 European Cup, where she placed fifth in the all-around and won the ball title. She shared in the Soviet silver-medal finish behind Bulgaria at the 1989 World Championships, and also claimed the all-around bronze and three golds (rope, hoop, ribbon). In 1990, she placed first at the Intervision Cup, Goodwill Games, USSR National Championships and World Cup, third at the European Championships, and became the 1991 World All-around champion.