*Club domestic league appearances and goals, correct as of 06:12, 26 August 2024 (UTC) ‡ National team caps and goals, correct as of 17:42, 22 May 2016 (UTC)
Burov started playing football aged eight in the Levski-Rakovski Academy. 3 years later, after showing great potential, he moved to Levski Sofia's main academy.[3]
Slavia Sofia
Burov joined Slavia Sofia's academy in 2015 together with 3 other Levski players.[4]
On 28 May 2016 he made his debut in the A Group for Slavia in a match against Montana.[5]
Loan to Spartak Pleven
On 6 January 2017, Burov joined Spartak Pleven on loan for the rest of the season.[6]