Club career
Calligaris began playing football at FC Giswil in Obwalden at a young age. In March 2009, she moved to FC Sachseln and in September of the same year, Calligaris moved to SC Kriens. She then went to SC Emmen United. In 2012, she began her professional career at SC Kriens. In 2013, Calligaris signed with Swiss powerhouse BSC Young Boys. For the 2017/18 season, she moved to Atlético Madrid in the Spanish Primera División.
On 29 June 2023, Paris Saint-Germain announced the signing of Calligaris on a two-year deal until June 2025.
On 15 January 2024, Calligaris joined Juventus on a loan deal until the end of the season. On 7 July 2024, Juventus announced the signing of Calligaris on a permanent deal until June 2026.
On 7 July 2026, Calligaris returned to Atlético Madrid on a two-year contract, running until 30 June 2028.

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