Career
Pospíšil began his career as a youth player with Slavoj Zbraslav and Dukla Prague before joining Sparta Prague in 1992. He eventually made the senior squad and played in the Union of European Football Associations Champions League before spending two years on loan at FK Chmel Blšany (1998–2000). In July 2003 he was recruited by Football Club Slovan Liberec where he scored 16 goals in 52 games and helped his club finish in the top half of the league in the two seasons he was there.
In August 2005 Pospíšil became George Burley"s fourth signing for Hearts, joining the Edinburgh side for a fee of £300,000.
He made his Hearts debut as a substitute in a 3-0 victory at Dundee United on 14 August 2006 and scored his first goal for the club the next week, a spectacular effort against Aberdeen. He was predominantly deployed as a substitute over the course of the 2005-2006 season yet managed to score 7 league goals.
He also scored the crucial fourth penalty in the Scottish Cup final penalty shootout victory over Gretna. After an injury-disrupted start to the 2006-2007 season, Pospíšil scored on his return to the first team on the 2 January 2007 to give Hearts victory over Dunfermline Athletic.
He was the subject of a £100,000 bid from Bristol City in January 2007, however, while agreement was reached between the clubs, Pospíšil could not agree personal terms with the Robins and decided to remain in Edinburgh.
On 19 January 2008 he was transferred to K. Sint-Truidense V.V. (373) in Belgium. He returned to FK Viktoria Žižkov one year later, making his debut on 22 February 2009. After a short spell playing for Střížkov, he signed for Icelandic club University of Medicine and Pharmacy Grindavík.
In May 2002 he was selected in Czechoslovakian Republic under-21 team for the Union of European Football Associations European Under-21 Football Championship.
In total he made 21 appearances at under 21 level