A league source termed the meetings with Butler as "positive."
Butler, 31, has averaged almost 17 points a game throughout his career, but missed most of last season with the Dallas Mavericks after rupturing a tendon in his right knee on Jan. 1. The Mavs' starting small forward at the beginning of last season, Butler was emerging as their second-leading scorer while splitting time with Shawn Marion.
"That went great," Butler tweeted after his meeting with Bulls personnel. "Now headed to the west ..."
A large black stretch limousine was waiting in the Berto Center parking lot to whisk Butler off to his next destination.
Butler and his agent met with the Clippers on Monday night. His meeting with Los Angeles went so well, the two sides decided to talk again on Tuesday morning, Butler's agent Raymond Brothers told ESPNLosAngeles.com's Ramona Shelburne.
"Both of the meetings today were very very good," Brothers said of the Bulls and Clippers. "Caron is grateful to every team that's interested in him."
A source told ESPNDallas' Jeff Caplan that Butler will meet with at least four teams including the San Antonio Spurs on Tuesday, New Jersey Nets on Wednesday and possibly the Detroit Pistons on Thursday.
The source said that those teams understand that Butler is not interested in a one-year contract, the length favored by the Mavs to bring back the nine-year veteran.
"There's no secret that he's a hell of a player," Bulls center Joakim Noah said on Monday. "I don't know how he is health-wise, but there's no question that he's definitely a great player."
Butler is a native of Racine, Wis., and has spent a portion of his summer working out in Chicago. The 10th overall pick of the 2002 draft, Butler shot a career-best 43.1 percent from 3-point range last season.
Nick Friedell covers the Bulls for ESPNChicago.com and ESPN 1000.