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).