Career
Sassuolo
Born in Sassuolo, Emilia region, Barbuti started his career at United States. Sassuolo Calcio. Barbuti was a player of the under-17 team in 2008-2009 season. In 2012-2013 season he was signed by Barletta in a co-ownership deal, for a peppercorn of €500.
In June 2013 Sassuolo bought Barbuti, also for a peppercorn of €500.
In summer 2013 Barbuti was a player of Aprilia, which his future club Pescara also loaned Riccardo Ragni and Marco Iannascoli to the team Barbuti scored 9 goals, 1 goal behind Antonio Montella.
Pescara
On 1 July 2014 Barbuti became a free agent. He was immediately signed by Pescara on a free transfer.
On 3 August Barbuti was signed by Pordenone in a temporary deal.
On 16 January 2015 Barbuti was signed by Torres. Barbuti was included in the first team at the start of 2015-2016 Serie B. He wore no.23 shirt. On 31 August he was signed by Lumezzane in a temporary deal.