The Bulls reportedly were set to announce Rice's signing Wednesday. But a league source, speaking on condition of anonymity, said the forward changed his mind to consider other options, although it's not immediately clear what they are.
Initial reports said Rice was set to sign a one-year, $7.5 million deal.
David Falk, who represents Rice, was not available for comment. Neither was Bulls general manager Jerry Krause, whose offseason plans, with $20 million in salary cap room, have fallen far below expectations.
Rice averaged 15.9 points last season, helping the Los Angeles Lakers win the NBA title. But he was unhappy with his playing time and his diminished role in the postseason. A three-time All-Star, Rice has a career average of 20.2 points.
McGrady and Jones were wined and dined during their visits to Chicago, taking yacht rides and throwing out ceremonial pitches at baseball games.
Rice was a key element in a proposed four-team trade that would have sent him to the New York Knicks, but that, too, fell through.
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