[citation needed] Musso was the third-choice goalkeeper during Racing Club's 2014 Argentine Primera División championship, the team's first title in 13 years.

Musso became the team's first-choice goalkeeper during the 2017–18 Argentine Primera División, in which Racing finished in 7th place and qualified for the 2019 Copa Sudamericana.

[2] On 22 May 2024, he clinched his first trophy with the club as Atalanta defeated Bayer Leverkusen to win the UEFA Europa League.

On 27 August 2024, Musso joined La Liga club Atlético Madrid on a season-long loan for the 2024–25 season.

[5] On 26 March 2019, Musso debuted for the Argentine senior squad in a friendly match against Morocco, coming as a 67th-minute substitute for Esteban Andrada.