At the Junior World Championships in 2014, Bassino won the gold medal in the giant slalom on her eighteenth birthday in late February.

[1] In October 2016, she scored her first World Cup podium at Sölden, finishing third in the giant slalom won by Switzerland's Lara Gut; later in the season she repeated the same result in the giant slaloms in Kronplatz and Aspen - the letter together with teammates Federica Brignone and Sofia Goggia.

In 2019 at Åre, she won a bronze medal in the team race (participating as a reserve) and was 13th in both the giant slalom and combined.

[1][4] In the 2020–21 season, Bassino won four of the first five giant slalom races contested, also finishing on the podium in the sixth one – a third place in the home event in Kronplatz, Italy.

[5] At the 2021 World Championships in Cortina d'Ampezzo, Italy, Bassino won the gold medal in the parallel giant slalom event, alongside Austria's Katharina Liensberger.