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The 30-year-old finished seventh of the 32 competitors in the earlier men's super-G standing event, but after finishing third in the men's slalom standing event, he leapt up the aggregate table to take the bronze medal.
''I'm still in a bit of shock,'' he said after the event last night.
''It was an amazing comeback after my first run, to finish a really solid slalom run.
''It's going to take a while to sink in, but I've got to get over the emotions really quickly and move on to the next race, which is in a couple of days.''
Several big names were among the 11 racers who failed to finish the slalom race, including super combined world No1 Markus Salcher, of Austria, and world No2 Robin Cuche, of Switzerland.
The event was won by neutral paralympic athlete Aleksei Bugaev (20), of Russia, from Arthur Bauchet (17), of France.
Hall has spina bifida and competes in the LW1 class for para skiers with an impairment that significantly affects both legs.
He got off to a good start earlier this year when he won a gold and a silver in the men's super-G standing at the 2018 World Para Alpine Skiing Cup.
It is the fourth time Hall has represented New Zealand at the Paralympic Games.
He competed in Torino 2006, Vancouver 2010 - where he won a gold medal in the standing slalom - and Sochi 2014.
The Dunedin-born skier has been a member of the Cardrona New Zealand national adaptive ski team since 2005, and divides his training between Winter Park (United States) and Cardrona.
Hall's bronze takes New Zealand's medals total to two, following Corey Peters' bronze on Saturday in the men's downhill sitting event.