A product of Atalanta's youth academy, Scalvini made his debut under former coach Gian Piero Gasperini during the 2021-22 and quickly became a key figure in their defence. He played a vital role in Atalanta's triumph in the 2023/24 Europa League but an injury ruled him out of Euro 2024 and limited him to just 371 minutes of action last season. Scalvini has featured in both of Atalanta’s Serie A matches this season, with coach Ivan Juric affirming that he is central to the team’s spine as they rebuild following Gasperini’s departure.