During the 2013–14 season, his team finished as the winners of Group A in the Berretti under-19 league. However, the team was eliminated by Südtirol in the first round of the play-offs.
Bunino played three more Serie B games for the first team in the first half of the 2014–15 Serie B season.
Juventus
On 2 February 2015, Turin-based Serie A giants Juventus, signed Bunino for €1.75 million on a 4+1⁄2-year contract in a straight swap deal involving: Luca Castiglia (for €1.5 million) plus Giuseppe Ruggiero (for €250,000).[4][5] Bunino was immediately loaned back to Vercelli on a temporary deal for 1+1⁄2 seasons.[4]
Pro Vercelli (loan)
Since returning to Pro Vercelli on 2 February 2015, Bunino made just a single appearance during the 2014–15 Serie B campaign. He scored 10 goals for the under-19 team that season, and was Pro Vercelli's top-scorer and ninth best in the Primavera under-19 league.[6]
He played once for Pro Vercelli in the 2015–16 season in the Coppa Italia.
On 24 August 2016 Bunino was signed by Siena on a temporary deal.[8]
Alessandria (loan)
On 8 August 2017 Bunino was signed by another Piedmontese club Alessandria on a temporary deal, with an option to buy.[9] He was assigned number 27 shirt.[10]
Pescara
On 31 January 2018 Bunino was signed by Pescara in a definitive deal, with Leonardo Mancuso moved to Juventus in the same formula.[11] He was assigned number 11 shirt, which was owned by Francesco Zampano. On 9 August 2019 he joined Padova on loan with an option to purchase.[12] On 10 January 2020 he moved on a new loan to Serie C club Viterbese.[13] On 5 October 2020 he joined Teramo on loan.[14] On 16 January 2021 he moved on a new loan to Monopoli.[15]
Return to Pro Vercelli
On 30 July 2021, he returned to Pro Vercelli on Serie C.[16] On 1 September 2022, Bunino was loaned by Fermana.[17] On 31 January 2023, Bunino moved on a 1.5-year loan to Lecco.[18] On 22 August 2023, Lecco arranged a sub-loan for the 2023–24 season with Brindisi.[19]
^"Ingaggiato Cristian Bunino" (Press release) (in Italian). U.S. Alessandria Calcio 1912. 8 August 2017. Archived from the original on 5 February 2018. Retrieved 5 February 2018.