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.

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.

At the 2018 Winter Olympics of Pyeongchang she led after the first run of the giant slalom, and then finished the race in 8th position.

[4] Mölgg has been in a relationship with fellow alpine skier Werner Heel since 2009:[5][6] as of 2018 the couple were engaged.

[7] Mölgg has made four Olympic teams and her best finish was eight in the giant slalom in 2018.