Following a successful period on trial with Italian club Mantova,[2] on 15 October 2019 Haveri officially joined the Serie D side on a free transfer.[3] He collected five appearances throughout the season, as Mantova gained direct promotion to Serie C after finishing at the top of their group.[4]
In summer 2020, Haveri joined fellow Serie D side Campodarsego on a free transfer.[5] However, his playing time at the club was cut short by injuries and complications of COVID-19.[5]
On 6 August 2021, Haveri was signed by Serie D club Rimini.[4][6] Throughout the 2021–22 league campaign, the Albanian collected 33 appearances and four assists, as his team eventually won their group and got promoted to Serie C.[5][7][8]
After attracting the interest of several top-tier and second-tier clubs across Italy,[5] in the summer of 2022 Haveri reached an agreement to join Serie A side Torino for an estimated fee of 300.000 euros: however, the deal could not be completed, due to the Italian federation's rules involving the registration of non-EU players by professional teams.[5][9]
The full-back was subsequently re-signed by Rimini, penning a new contract until 2025.[9][10] In January 2023, the club and Torino made a new attempt to complete the transfer of Haveri,[11] but the deal fell through again.[12] Throughout the 2022–23 season, he helped Rimini reach the promotional play-offs,[13] as they ultimately lost to Pontedera in the first round.[14]
On 3 July 2023, Haveri officially joined Torino for an undisclosed fee,[13][15] reportedly signing a three-year contract with the club.[16] On 14 July, he was sent to Serie B side Ascoli on a season-long loan, with an option to buy for the club and a buy-back clause in favor of Torino.[17][18]
On 27 January 2024, Haveri was re-called by Torino,[19] and subsequently loaned out to Serie C side Catania until the end of the season.[20][21]
Haveri is a left-back, who can also play as a left wing-back.[7][28] He has been mainly regarded for his physical and athletic attributes,[5][9] as well as his defensive skills[28] and his ability to serve assists for his team-mates.[5][9]