Career
Bulis was drafted by the Washington Capitals in the 1996 National Hockey League Entry Draft, Second Round, Forty-third Overall. Bulis was a fan favourite while playing for the Barrie Colts of the OHL and was among the top players in the OHL at that time from 1995–1997. In Bulis" top season for Barrie he accumulated 42 goals and 61 assists for a total of 103 points in 64 games.
Unfortunately, that offensive potential has not shown up in the National Hockey League where he has a total of 251 points in 587 games played.
He has played for the Vancouver Canucks, Montreal Canadiens, Washington Capitals, AHL Portland Pirates, IHL Cincinnati Cyclones, OHL Kingston Frontenacs and Barrie Colts. On March 13 of 2001, Bulis was traded from the Washington Capitals along with Richard Zedník and a first round pick (Alexander Perezhogin) to the Montreal Canadiens for Dainius Zubrus, Trevor Linden and a second round draft pick (later traded to the Tampa Bay Lightning, who selected Andreas Holmqvist).
During the 2004-2005 National Hockey League lockout, Bulis played for The Human Context Pardubice in the Czechoslovakian Republic Elite League. He scored 24 goals and had 25 assists in 45 games played.
Bulis recorded his best National Hockey League season in 2005-2006 with Montreal where he scored 20 goals and 20 assists for 40 points in 73 games played.
During the campaign in December 2005, Bulis was named to the Czechoslovakian national ice hockey team for the 2006 Winter Olympics in Turin. lieutenant was the first time that Bulis played for the Czechoslovakian National Team. On January 25, 2006 Bulis scored four goals in four shots against the Philadelphia Flyers.
June 22, 1996 - Drafted by the Washington Capitals in the 2nd round, 43rd overall.
March 13, 2001 - Traded to the Montreal Canadiens along with Richard Zednik and a 1st round selection in the 2001 National Hockey League Entry Draft (Alexander Perezhogin) in exchange for Trevor Linden, Dainius Zubrus, and a 2nd round selection in the 2001 National Hockey League Entry Draft (previously acquired, later traded to the Tampa Bay Lightning - Andreas Holmqvist). July 25, 2006 - Signed as an unrestricted free agent by the Vancouver Canucks.
On May 4, 2011 Bulis moved from KHL"s Atlant Mytishchi to Traktor Chelyabinsk. April, 2012 - Signed one-year contract with Traktor Chelyabinsk.