Competing in two Summer Olympics, he won two silver medals in the C2 event, earning them in 1992 and 1996.

Šimek also won a complete set of medals in the C2 event at the ICF Canoe Slalom World Championships with a gold in 1993, a silver in 1991, and a bronze in 1997.

He won the overall World Cup title in the C2 category six consecutive times between 1990 and 1995.

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