He was originally drafted by the San Francisco Giants. He was in the Giants' system for three years. Following the 2005 season, the Giants signed utility infielderJosé Vizcaíno. They made room for Vizcaíno on the roster by designating Burres for assignment. He pitched for the Connecticut Defenders prior to being designated. He was later released.
Baltimore Orioles
Burres was picked up on waivers by the Baltimore Orioles. Burres never cleared waivers, so the Orioles released him. Six days later, he was assigned to Triple-AOttawa. He made his major league debut with the Orioles in 2006, but spent most of that season with AAA Norfolk. He was promoted to the Orioles for most of the 2007 season. Burres was named the fifth starter in the Orioles rotation to open the 2008 season, after a competition in spring training with teammate Matt Albers. In, however, Burres was designated for assignment to make room for Rich Hill on the roster. , AAA affiliate of the Toronto Blue Jays, in
Toronto Blue Jays
On February 4, 2009, Burres was claimed by the Toronto Blue Jays. Burres spent spring training 2009 with Toronto, and was assigned to Triple-A Las Vegas 51s. With Toronto dealing with early-season injuries to several pitchers, Burres was recalled to the majors by the Jays on April 24, 2009, and made his first appearance for Toronto the next day, starting on the road against the Chicago White Sox. He wound up as the losing pitcher, but held the White Sox to two runs through the first four innings, before struggling in the fifth inning, when he left the game. Jays' manager Cito Gaston stated that Burres would remain in the rotation until several of Toronto's injured pitchers make their return to active duty.
Pittsburgh Pirates
On January 4, 2010, Burres signed a minor league contract with the Pittsburgh Pirates with an invite to spring training. He was non-tendered after the season.
Return to San Francisco
On December 19, 2011, Burres returned to the team that drafted him by signing a minor league deal with an invite to spring training.
Lamigo Monkeys
On February 4, 2013, after little interest from MLB and NPB teams, Burres signed with the Lamigo Monkeys of the CPBL in Taiwan.
Burres re-signed with the Southern Maryland Blue Crabs for the 2015 season. He became a free agent after the 2015 season. He re-signed on April 5, 2016. He became a free agent after the 2016 season.
Personal life
Brian has an identical twin brother, Greg, who resides in the Pacific Northwest. Brian is the son of Nancy and Kirk, and has two other brothers, Kevin and Patrick. Brian married Lacy on the July 14, 2014, episode of .