[10][11] On 22 August Budkivskyi scored a goal in a 3–1 victory against Zorya Luhansk in the first match of the 2020–21 Ukrainian Premier League season.

[12] On 7 November he scored the winning goal against FC Mynai at Obolon Arena in Kyiv.

[13] On 1 August 2021 he opened his account for the 2021–22 Ukrainian Premier League season against FC Mariupol.

[15] In January 2022, he signed a contract for one and a half years with Polissya Zhytomyr in the Ukrainian First League.

[16][17] On 28 August he scored two goals away against Prykarpattia Ivano-Frankivsk, opening his account for the 2022–23 season.