Nathalie Gröbli began her career at the Emmetten Ski Club and was appointed to the Swiss C-team in 2014. She specializes in the downhill , Super-G and Alpine Combined disciplines. At the 2015 Junior World Championships in Hafjell , she started in four disciplines. After she was eliminated in the slalom in the second round, she was able to place 21st in the Super-G, 17th in the Super Combined and 20th in the downhill. She was stopped by a cruciate ligament rupture in the 2015/16 season and made her comeback in the 2016/17 season.
On January 26, 2018, she made her debut in the World Cup and, with 25th place in the combination of Lenzerheide, immediately took her first World Cup points. Her best result so far is eighth place in the Altenmarkt-Zauchensee combination on January 12, 2020.