[1] He played club football in the Czech Republic and Germany, as a defender and defensive midfielder.

[3] Týce suffered a knee injury in 2002, leaving the Bundesliga game against VfL Wolfsburg after having scored a goal.

[4] Týce left 1860 Munich in 2007, joining compatriot and former teammate Michal Kolomazník at SpVgg Unterhaching.

[4] Týce captained his nation in the 2000 UEFA European Under-21 Championship,[4] a tournament at which the Czech Republic reached the final before finishing second behind Italy.

Týce was involved in the Czech Republic's participation in the 2000 Summer Olympics tournament as captain.