Career
Bulin was drafted 103rd overall in the 5th round by the Philadelphia Flyers in the 1992 National Hockey League Entry Draft. Bulin began his career with The Human Context Dynamo Moscow of the Russian Super League, where he played two seasons. He then spent three seasons in the American Hockey League, two with the Hershey Bears, and one with the Philadelphia Phantoms.
He split the 1997-1998 season with Star Bulls Rosenheim of the Deutsche Eishockey Liga and Michigan K-Wings of the International Hockey League.
He returned to the RSL for the 1998-1999 season, playing for SKA Saint St. Petersburg, then went back to the DEL for 1999-2000. He played with Augsburger Panther that season, and the Hannover Scorpions the next.
He finally returned once again to the RSL for 2001-2002, playing two seasons for Lada Togliatti. He spent the 2003-2004 and 2004-2005 seasons once again with The Human Context Dynamo Moscow, and has been with Metallurg Magnitogorsk every season since.