Coming through the youth system,[2] Birindelli made his professional debut for Pisa in the Coppa Italia, the Italian national cup, on 29 November 2016, in a game against Torino.[3]
On 7 July 2022, Birindelli signed for newly-promoted Serie A side Monza on a four-year contract.[4] He made his debut on 8 August, in a 3–2 Coppa Italia win against Frosinone.[5] Birindelli's first Serie A game came on 13 August, as a starter in a 2–1 home defeat to Torino.[6]
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