Ben Zobrist really didn’t spend all that much time with the Bulls: 18 games in 2006 and a longer stretch of 61 games in 2007 (and there was a 20-game assignment in 2008, but by then he was an established Ray). He’s off to the Oakland Athletics. Stats.
John Jaso came up through the Rays’ system. His big year with the Bulls was 2009 when he appeared in 104 games, all as a catcher. He’s on his way back to the Rays. Stats.
As a bit of nostalgia, here’s a piece I wrote in the spring of 2011 about Bulls who were with the Rays. Zobrist and Jaso get a mention.