Selected 40th overall in the 2007 NHL Entry Draft by the Panthers, Repik turned professional in 2008–09 with the team's American Hockey League (AHL) affiliate.

After being selected 25th overall by the Vancouver Giants in the 2005 Canadian Hockey League (CHL) Import Draft, Řepík moved from Slovakia to join the team in 2005–06.

Repik continued his scoring pace in the CHL tournament, earning the Ed Chynoweth Trophy as the Memorial Cup's leading scorer.

He was limited to just 51 games after suffering a concussion on a hit from Everett Silvertips defenceman Dane Crowley on 1 December 2007 (the injury has affected Řepík's sense of smell up to his rookie season in the AHL).

After four seasons within the Panthers organization, Řepík left as a free agent and returned to the Czech Republic by signing a multi-year contract with HC Lev Praha of the Kontinental Hockey League on 20 June 2012.

[8] On 16 July 2018, Řepík agreed to extend his contract with HC Slovan Bratislava, signing a one-year deal for the 2018–19 season.

[9] He contributed offensively with 21 points through 42 games before he was transferred by the out of contention Bratislava to Russian club, HC Vityaz on December 26, 2018.

Poised to make a second appearance at the World Junior Championships in 2008 in his home country, Řepík was unable to participate due to a concussion suffered in the month preceding the tournament.