Tomba, who broke a rib training last week in Sestriere, virtually handed the victory to Swiss Michael Von Gruenigen.
Despite dropping out after being in ninth after the first run in the men's race, Tomba stayed in the overall lead with 250 points. Von Gruenigen moved to within a point at 249.
Von Gruenigen had a smooth first run in establishing a big lead over the rest of the field. He held on to record a .81-second margin after two runs with a total time of 2 minutes 25.09 seconds.
The 30-year-old Schneider, the defending World Cup champion, clocked an unbeatable combined time of 1:38.55 minutes down the demanding Kandahar course, besting Sweden's Pernilla Wiberg by 0.87 seconds. Kjetil-Andre Aamodt of Norway, last year's overall World Cup men's champion, was second with Austrian Guenther Mader third.
Schneider climbed to second place overall, with 357 points.
Swiss Heidi Zeller-Baehler retained the overall lead in the World Cup standings, with 445 points, although she did not start in Sunday's race.
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