The 24-year-old claimed his first victory of the season to move his overall tally to 2306 but with the USA’s Nate Holland finishing 20th, he just clung on to third place.
Holland ended the season with 2340 points but had he finished 24th or lower, Schad would have found himself in the top three.
France’s Pierre Vaultier was absent from the competition in Italy, having already wrapped up the overall title with 3852 points while Andrey Boldykov, second on the day, ends the season as runner-up with 2930.
Meanwhile, British number one Zoe Gillings described herself as "over the moon" after reaching the podium in the women's event by Olympic champion Maelle Ricker.
It was Gillings’ best finish of the season and the 26-year-old said: "I am absolutely over the moon and I have done it all without a funding programme.
"It's been my best season ever and I am so happy at the moment. It's an unbelievable feeling to be back on the World Cup podium and I have to thank all the Manx people for getting behind me and my business."
Her third place finish sees her leapfrog France's Deborah Anthonioz to finish sixth in the overall World Cup standings with Dominique Maltais claiming the overall title, finishing 250 points ahead of fellow Canadian Ricker.
- Sports & Recreation
- Nate Holland
- Zoe Gillings
- Pierre Vaultier