Three days before the opening race of the 2015–16 season (Giant Slalom at Sölden in October) Veith fell in a training run there. She suffered severe tears to both her ACL and meniscus, causing her to miss the entire season, as well as the majority of the next. Veith's first World Cup event after the injury was a giant slalom at Semmering on 27 December 2016, but she didn't qualify for the second leg. The next day, she was 25th in another GS at Semmering. Her best result on the World Cup was a third place in the Super-G on 29 January at Cortina, shortly before the World Championships. However, Veith wasn't able to duplicate her success (giant slalom (22nd) and super-G (DNF)), then withdrew from the remainder of the World Cup season, citing lingering injuries that needed to be dealt with in order for her to continue in her career.