After being selected 25th overall by the Vancouver Giants in the 2005 Canadian Hockey League Import Draft, Řepík moved from Slovakia to join the team in 2005–06. He scored 24 goals and 52 points over 69 games, ranking fifth among league rookies in scoring. He added 3 goals and 6 points over 14 playoff games, helping the Giants win the Presidents' Cup as WHL champions. Their win qualified them for the 2006 Memorial Cup, where they were eliminated in the semifinal. The following season, Repik scored at a near-point-per-game pace with 55 points over 56 games. During the 2007 WHL playoffs, he scored 26 points over 22 games to lead the league in scoring. The Giants advanced to the WHL Finals, where they were defeated in seven games by the Medicine Hat Tigers. Despite their defeat, they qualified for the 2007 Memorial Cup as they had been chosen to host the tournament at the beginning of the season. Repik continued his scoring pace in the CHL tournament, earning the Ed Chynoweth Trophy as the Memorial Cup's leading scorer. The Giants met the Tigers once more in the Memorial Cup Final and defeated them to win the national title. In the subsequent 2007 NHL Entry Draft, he was drafted in the 2nd round, 40th overall, by the Florida Panthers. At mid-season, he had been ranked 46th among draft-eligible skaters playing in North America by Central Scouting Services. Upon being drafted, Řepík returned to the WHL for a third and final season with Vancouver and scored a junior career high 61 points. He was limited to just 51 games after suffering a concussion on a hit from Everett SilvertipsdefencemanDane Crowley on 1 December 2007. Defending their Memorial Cup title, the Giants were eliminated in the second round of the WHL playoffs by eventual 2008 Memorial Cup champions, the Spokane Chiefs.
Professional
Řepík was assigned by the Panthers to the Rochester Americans of the American Hockey League for his first professional season in 2008–09. Called up from Rochester in December, he scored his first NHL goal in his NHL debut on 8 December 2008, in a 4–3 overtime victory over the Ottawa Senators. He played in 5 games total for the Panthers during the season, taylling 2 goals. With the Americans, he recorded 49 points in 75 games. following a Giants playoff game in 2007. In 2009–10, Repik saw increased time with the Panthers, appearing in 19 NHL games with 3 goals and 2 assists during that time. Spending the majority of the season with the Americans, he had 22 goals and 31 assists over 60 games. He struggled to score in the 2010 AHL playoffs, however, recording a goal and an assist over seven games. The following season, Repik was sent back to the AHL out of training camp. After recording 22 points over the first 17 games of the season, he was recalled by the Panthers in mid-November 2010. A spot was freed up in the lineup after winger Steve Bernier suffered a fractured orbital bone. He spent the season splitting time between Rochester and Florida once more and finished with 45 points over 53 AHL games and 8 points over 31 NHL games. His play earned him an invitation to the 2011 AHL All-Star Game, representing PlanetUSA. After four seasons within the Panthers organization, Řepík left as a free agent and returned to the Czech Republic in signing a multi-year contract with HC Lev Praha of the Kontinental Hockey League on 20 June 2012. He played two seasons with Lev before the club dissolved and signed for a season with Lahti Pelicans in the Finnish Liiga before ending the 2014–15 season with EV Zug of the Swiss National League A. On 22 April 2015, Řepík signed a two-year contract to return again to the Czech Republic with HC Bílí Tygři Liberec of the Czech Extraliga. On 16 July 2018, Řepík agreed to extend his contract with HC Slovan Bratislava, signing a one-year deal for the 2018–19 season. 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.
International play
Řepík competed for the Czech Republic's under-20 team at the 2007 World Junior Championships in Sweden. He failed to register a point in six games as the Czechs were eliminated in the quarter-finals by Sweden. 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.
