Born in Bruneck, South Tyrol, Mölgg made her World Cup debut at age 17 in December 2000 and gained her first podium in November 2004. She has 14 World Cup podium finishes and appeared in two Olympics and six World Championships. At the 2009 Alpine World Ski Championships in Val-d'Isère Mölgg took the lead in the slalom after the first run but was disqualified from the second after missing the final gate of the course, having kept her lead at the intermediate checkpoints before the finish line. She is the sister of Manfred Mölgg (b.1982), a racer on the Italian men's team.