He started his professional career in Lithuania with Atlantas. After moving to Riteriai (known as FK Trakai at the time), he scored 7 goals in 6 games in the Europa League qualifiers, helping his club eliminate Scottish club St Johnstone and Swedish IFK Norrköping. Shortly after he transferred to Macedonian club Vardar. After a long investigation, on 27 May 2019 FIFA banned Maksimov from playing for 4 months and Vardar from acquiring new players for two transfer windows due to irregularities with his transfer.[1]
He made his professional debut in the Russian Football National League for Torpedo on 29 September 2019 in a game against Neftekhimik Nizhnekamsk. He started the game and was substituted at half-time.[3] He scored his first Torpedo goal on 12 October 2019, a late winning goal in a 3–2 victory over Spartak-2 Moscow. On 26 November 2019, his contract was dissolved by mutual consent.[4]