The possible combination of Durant and Leonard adds a new level of intrigue as the NBA's signing period opened Sunday evening, Sky Sports News wrote.
The most likely scenarios for the pair to play together would be with the New York Knicks or Los Angeles Clippers, ESPN reported.
Durant reportedly plans to meet with four teams – the Knicks, Clippers, Brooklyn Nets and Golden State Warriors.
Leonard's list is expected to include the Knicks, Clippers, Los Angeles Lakers and Toronto Raptors.
In the days leading up to free agency, rumors swirled about various combinations of superstars.
Multiple reports have indicated that Brooklyn could be interested in a package of Durant and point guard Kyrie Irving.
Other reports have linked Leonard with the Lakers, where he could join LeBron James and Anthony Davis.
It is also possible that both players could return to their most recent teams. Leonard's Raptors held off Durant's Warriors in this year's NBA Finals, during which Durant tore his Achilles tendon in Game 5.
He is expected to miss most, if not all, of next season.