On July 21, 1995, he was traded by the San Francisco Giants with Darren Lewis and Mark Portugal to the Cincinnati Reds for Ricky Pickett, John Roper, Deion Sanders, Scott Service, and David McCarty.

On September 2, 2004, he was traded by the Milwaukee Brewers to the San Francisco Giants for minor leaguer Josh Habel.

[4] After filing for free agency from the Giants on October 29, 2004, Burba signed a minor league contract with the Houston Astros on March 29, 2005.

[5] Burba became pitching coach of the Tri-City Dust Devils for the 2011 season, the class-A team of the Colorado Rockies.

He was also the pitching coach for the Modesto Nuts, Hartford Yard Goats, and Lancaster JetHawks, in the Rockies farm system.