Kablukov was playing with
Torpedo Nizhny Novgorod in the Kontinental Hockey League before signing on 21 July 2009 with league rival
HC Spartak Moscow. He was drafted by the
Vancouver Canucks in 2007 but was never signed and had his rights relinquished. As an impending free agent from powerhouse
SKA Saint Petersburg after seven seasons, Kablukov was traded to
Amur Khabarovsk before he moved to fellow KHL outfit
Metallurg Magnitogorsk, signing a one-year contract on 2 June 2020. He was then traded just two days later by Metallurg to Avangard Omsk in exchange for
Taylor Beck. On 29 May 2022, Kablukov signed a one-year contract with his seventh KHL club,
Dynamo Moscow, for the 2022–23 season. In November 2024, Kablukov returned to Avangard Omsk on a two-way deal. ==International play==