Němeček was born in Hradec Králové, and grew up in a nearby village of Libčany.[3]
As a footballer of Sparta Prague, Němeček played in a 3–2 loss against FC Barcelona at the 1991–92 UEFA Cup.[4] He spent three seasons in Toulouse between 1992 and 1995[5] before joining Servette afterwards.[6] At international level, Němeček participated at the 1990 FIFA World Cup and UEFA Euro 1996.[7]
After football, he took the exams and obtained the license of the footballer with his former Servette teammate, Walter Fernandez.[8]
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