[7] Abbadini competed at the 2022 DTB Pokal Stuttgart where the Italian men's team won the silver medal behind the United States.

[13] Abbadini was selected to compete at the World Championships in Liverpool alongside Nicola Bartolini, Lorenzo Minh Casali, Carlo Macchini, and Matteo Levantesi.

The team finished fourth by slightly more than one point behind the bronze-medalists, Great Britain, after Abbadini fell off the pommel horse in the final rotation.

[16] At the 2023 European Championships, Abbadini won a team gold medal alongside Mario Macchiati, Lorenzo Minh Casali, Matteo Levantesi, and Marco Lodadio.

[21] This result also meant they qualified for the team final, where Abbadini contributed on four apparatuses toward Italy's eighth-place finish.

[23] After the World Championships, he competed at the 2023 Swiss Cup Zürich, a mixed pairs competition, with Manila Esposito, and they finished fourth.

[24] Abbadini began the 2024 Olympic season at the DTB Pokal Stuttgart and helped Italy win the team silver medal behind the United States.

[29] Abbadini was selected to compete at the 2024 Summer Olympics alongside Nicola Bartolini, Lorenzo Minh Casali, Mario Macchiati, and Carlo Macchini.