Dwyane Wade has made it clear he wants to stay in Miami, but he's been been just as clear as to what his team needs to do to keep him.
So Wade will explore other options just in case, and he is currently in Chicago, where he is expected to meet with the Bulls.
Chicago is Wade's hometown and to many it seems his main option outside of Miami, as Chicago has a strong base of players in place that could win a championship.
His ex-wife and children are also currently living in the area.
The Heat made an attempt during the midseason trade deadline in February to make a move for Stoudemire, but he made the decision to stay with Phoenix where he had a great postseason run.
Wade is unlikely to be content with just Stoudemire joining the team, as he is not only a secondary player but clearly on the downside of his career.
The Heat met with Stoudemire just after midnight, and sources say the meeting was very well-received by both parties, although no contract was offered.
Stoudemire met with Miami coach Erik Spoelstra and legendary Heat center Alonzo Mourning in the early hours of Thursday.
Wade is expected to meet with the New York Knicks and New Jersey Nets this weekend.
He is not expected to return to South Florida until the end of the weekend.
The Nets and Knicks have the most cap space after the Heat and may be the only teams likely to sign more than one major free agent.
Not offering a contract to Stoudemire is seen by many as a symbol that signing Chris Bosh is still a priority to the Heat.
The Heat also talked today to Mike Miller, Raymond Felton and Rudy Gay, among others on its priority list.
The Heat have the most cap space out of any team in the free agent market, but the priority for the Heat is still to sign Wade to a six-year, $125 million deal.
Riley and the Heat are expected to talk to Joe Johnson and ultimately make a trip to Cleveland to talk to LeBron James.