Born in Skalica, Czechoslovakia, Dome was a junior star on HC Dukla. He then came to North America without a contract and enjoyed two solid years in the IHL with three different clubs. The Pittsburgh Penguins claimed him 17th overall at the 1997 NHL Entry Draft and split the 1997-98 season between the NHL and AHL.
After playing the entire 1998-99 season in the minors with the AHL's Syracuse Crunch and the IHL's Houston Aeros, Dome returned to Pittsburgh for 22 games in 1999-00. He was unable to claim full time roster position and was dispatched to Wilkes-Barre/Scranton of the AHL. Dome returned home in 2000-01 and competed for HCO Trinec and HC Kladno before returning to Wilkes-Barre/Scranton in 2001-02.
Dome joined the Calgary Flames in organization in 2002-03 after his experiment in Pittsburgh had failed. Although he only played one game with the Flames in 2002-03, the organization is pleased with his strong play in Saint John.
