The NSWIS athlete won her opening quarter final heat, and finished third in the semi-final to just miss advancing to the big final medal round.
Competing in the consolation round small final, Brockhoff crossed the finish line in second, to give her a final ranking of sixth..
Also in action for Australia were NSWIS riders Josie Baff in ninth, Cameron Bolton in 18th and Adam Lambert 21st.
After four races, Baff is ranked third on the World Cup standings, with Brockhoff in eighth despite missing the previous World Cup. In the men's rankings Bolton is in 12th with Lambert in 16th.
The next event for the Snowboard Cross athletes is the FIS World Championships, which will take place in Bakuriani, Georgia, on March 2-4.
© FIS SnowboardIMAGE: