Schneider, who turned 30 while finishing third in giant slalom the previous day, earned an $18,000 bonus for the best combined result of the weekend and a total of $38,000.
Making another of her famous second-run comebacks, she posted a time of 1:39.95 to lead a 1-2 Swiss sweep. Martina Accola was second, in 1:40.58, her best career result.
On Saturday Heidi Zeller-Baehler of Switzerland charged from behind to earn the first World Cup victory of her 10-year career in the season-opening giant slalom.
Third after the first run, the 27-year-old Swiss turned on the jets despite a sudden flurry that hit the course just as she and Italy's Sabina Panzanini, who led after the first run and wound up second, pushed out of the start.
Zeller-Baehler had a two-run time of 2 minutes 22.03 seconds, after a second run of 1:07.46.
Panzanini, also seeking her first World Cup victory, clocked 2:22.44. Schneider was third in 2:23.01.
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