The Miami Heat are reportedly interested in making another run at Butler, while the Houston Rockets have reportedly turned down an initial offer for the four-time All-Star, according to an ESPN report Wednesday.
Miami's attempt to acquire Butler unravelled last week when the Timberwolves wanted a better player in return than guard Josh Richardson.
Meanwhile, the Rockets received an overture in which Minnesota requested shooting guard Eric Gordon and power forward PJ Tucker, but Houston wasn't interested in parting with Tucker, per Wednesday's report.
Three weeks since he requested a trade, Butler practised with the team for the first time Wednesday in an apparently heated session.
According to ESPN, he verbally challenged teammates, coaches and front office executives, and left many speechless. Per the report, an emotional Butler targeted president of basketball operations and coach Tom Thibodeau, teammates Karl-Anthony Towns and Andrew Wiggins, and general manager Scott Layden, at whom he screamed at one point, "You need me. You can't win without me."
Veteran point guard Jeff Teague said Butler's behaviour didn't bother him.
"I've been around the league," Teague told reporters. "It's my 10th year, so I been a part of teams where a lot of things have been going on. It's part of the game. I don't think it's distracting me. It may be distracting some other guys. Either way, man, I love Jimmy. Jimmy is my guy. But if he's not here, then we've got a good team, too."
Butler has told the organization he will leave as a free agent next summer if he isn't traded. Thibodeau has been hoping Butler will drop his trade request, while owner Glen Taylor desires a quick resolution to the deal.
Proposals figure to pick up again this week with Minnesota's first game looming against the San Antonio Spurs on Oct. 17.
According to reports, the Los Angeles Clippers, Phoenix Suns, Cleveland Cavaliers, Houston Rockets and Sacramento Kings have also kicked the tires on a Butler deal. The Brooklyn Nets and New York Knicks also could emerge possibilities.
Butler, 29, appeared in 59 games last season for the Timberwolves, averaging 22.2 points, 5.3 rebounds, 4.9 assists and 2.0 steals.
He is entering the fourth season of a five-year, $92.3 million contract he signed with Chicago in 2015, but he can enter the free agent market next summer by opting out of the final year. He is scheduled to earn a base salary of $18.7 million in 2018-19.
In July, Butler reportedly turned down Minnesota's four-year extension offer worth $110 million.
(With inputs from agencies.)