Rebensburg led after the first run with Shiffrin second while Brignone was fourth but the 27-year-old overhauled both on the second leg to win by 0.04 seconds from Rebensburg and claim the sixth World Cup win of her career.
Shiffrin, winner of Thursday's slalom at the same venue, was third, a further 0.04 seconds behind Rebensburg.
Titleholder Shiffrin retained a commanding lead in the overall World Cup standings on 881 points, with Rebensburg second on 510 and Slovakia's Petra Vlhova third on 385.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
(Writing by Brian Homewood; Editing by Christian Radnedge)
