He made his Czech First League debut in the 1998–99 season for Chmel Blšany.

[2] After the 1999–2000 season, he was signed by German side VfB Stuttgart but played only for the B team.

After only half a year Chvalovský returned in January 2001 to Blšany, where he again became the first-choice goalkeeper.

Chvalovský in 2000 became European runner-up with the Czech Republic U-21 national football team in Slovakia and also played at the 2000 Olympic Games in Sydney.

[2] He was part of the Czech U-21 squad which won the 2002 UEFA European Under-21 Championship, although he was reserve goalkeeper in the tournament.