[2] Competing in five Summer Olympics, he won three medals in the K-4 1000 m event with a silver in 2008, 2016 and a bronze in 2004.

Vlček also won fifteen medals at the ICF Canoe Sprint World Championships with ten golds (K-4 500 m: 2002, 2003, 2006, 2007; K-4 1000 m: 2002, 2003, 2015; K-2 1000 m: 2011, 2014 and K-2 500 m: 2014), two silvers (K-4 200 m: 2009, K-4 1000 m: 2005), and three bronzes (K-4 500 m: 2001, K-4 1000 m: 2007, 2009).

[3] Vlček was a city councillor in Komárno, running as an independent candidate in 2022.

On 25 April 2023, it was announced that Vlček would run for HLAS-SD in 2023 parliamentary elections.

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