The former LA Galaxy star has the option to create his own team as part of his contract with the California club
The former England captain's contract with his former club, the LA Galaxy, includes an option to create his own team in the top American league.
Beckham is believed to be exploring a number of possible locations for a franchise and held talks with the Miami-Dade Sports Commission during his visit to south Florida.
"I think Miami fans are very passionate about their sports and very passionate about winning," he told reporters according to the Press Association. "It's definitely exciting."
Beckham visited the Sun Life Stadium, which can hold nearly 75,000 supporters for football matches and is the home of the NFL's Miami Dolphins, as well as the 20,000 capacity FIU Stadium at Florida International University.
There are currently no teams from Florida in MLS, but two clubs - the Fort Lauderdale Strikers and the Tampa Bay Rowdies - play in the second-tier North American Soccer League.