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It was the first top-10 World Cup result Robinson has achieved since she won this race just over a year ago.
Robinson took a more conservative approach to her first run down the hard and icy course and finished it in ninth position, 1.53 seconds behind leader Mikaela Shiffrin, of the United States.
"I just wanted to be a bit cleaner [on run one].
"I had a lot of mistakes yesterday. I think I did that, but I wasn’t pushing enough, not aggressive enough," she said.
Robinson had a solid second run, looking strong and in control as she ripped down the course.
She explained that the plan was to "attack more on the second run and rip some normal turns".
Her ninth place was 2.32sec behind winner Marta Bassino, of Italy, who won a World Cup giant slalom on the same slope the day before.
Michelle Gisin, of Switzerland, was second and Meta Hrovat, of Slovenia was third.
Robinson said the ninth placing should help her confidence.
Fellow New Zealander Piera Hudson did not start as she hyper-extended her right knee and sprained her lateral ligament in the first race of the weekend.