He played in Major League Baseball (MLB) for the Kansas City Royals, Texas Rangers, Chicago White Sox, and Baltimore Orioles.

Bukvich was called up to the White Sox in June 2007 along with Bret Prinz, replacing the struggling David Aardsma and Mike MacDougal.

[1] While Prinz remained with the team for only a matter of days, Bukvich stayed on the roster despite the subsequent return of both Aardsma and MacDougal.

[2][3] He became a cult hero at U.S. Cellular Field, earning the nickname "Iceman" for his cool demeanor in pressure situations.

After several days of extended spring training, he joined the Triple-A Norfolk Tides of the International League.