In a day of strong racing, Brockhoff progressed with confidence through each round to make it to the final race of six competitors.
Victory went to Italian Michela Moiili with Frenchwoman Nelly Moenne Loccoz taking the silver.
After finishing fifth fastest in qualifying on Friday, the Olympic Winter Institute of Australia (OWI) athlete finished second to Moenne Loccoz in the quarter finals. In the semi finals, she was again second, again behind Moenne Loccoz.
In the final race of six for the medals, the 2014 Olympian came unstuck near on the a very difficult course when well placed.
“In the big finals, I missed the landing on the last kicker to the flats, squatted it out as best as I could, but unfortunately couldn't stay on my feet and watched the pack ride to the finish line,” Brockhoff said.
“I feel that this has been a solid result regardless and grateful that I am in one piece. I’m very excited for tomorrow.”
Jarryd Hughes was the best of the male OWI athletes finishing in eighth outright. After setting the fourth fastest time in qualifying, the NSW rider was second in his opening heat. He then was quickest in his quarter finals, but was knocked out in the semis, finishing fifth in the six man field.
Two-time World Champion Alex Pullin, second in qualifying, finished second in his heat in the round of 48. But the two time World Champion was disqualified for his run in the quarter final and progressed no further, and must now wait until the second World Cup at the Swiss report tomorrow.
Cam Bolton, who was eighth fastest in qualifying, was knocked out in opening round of head-to-head racing.
Action continues in Veysonnaz tomorrow with another round of the World Cup, making up form events cancelled earlier in the season.
IMAGE: Belle Brockhoff (middle - blue bib) in action in Veysonnaz © FIS