*Club domestic league appearances and goals, correct as of 08:34, 16 August 2024 (UTC) ‡ National team caps and goals, correct as of 18:35, 31 October 2020 (UTC)
Budinov made his professional debut for the first team on 25 September 2019 in a cup match against Neftochimic Burgas.[3] He completed his league debut for the club on 12 July in a match against Slavia Sofia.[4]
On 6 June 2022 Budinov was sent on loan to the newly promoted First League team Spartak Varna until the end of the season.[5] In June 2023, he joined Etar Veliko Tarnovo, once again on loan from Ludogorets.[6] In January 2024, he was loaned out to Botev Vratsa, from Ludogorets.[7]