That’s according to a report from SNY’s Anthony Puccio, who claims Tobias Harris will also meet with the Nets.
Durant and Leonard are the top marquee free agents potentially available this summer.
Multiple reports have suggested Leonard is likely to move to Los Angeles, with the Clippers said to be favoured over the Lakers.
Durant meanwhile has been heavily linked with joining the New York Knicks along with one other superstar.
However, there are multiple teams hoping to convince either one of them – or both – to at least have a discussion with them.
And Puccio reports that top-tier free agents such as Durant, Leonard and Harris will “consider” joining the Nets.
“Making the playoffs definitely helped their chances,” one source told Puccio.
Brooklyn proved to be one of the most exciting in the NBA this season, making the playoffs for the first time since 2015.
But it has also been the identity in which the team has created throughout the season which has led to plenty of interest in Brooklyn.
D’Angelo Russell performed to a level which earned him his first All-Star nod, while players such as Caris LeVert, Jarrett Allen and Spencer Dinwiddie also enjoyed stellar seasons.
The stigma surrounding the Nets which saw them as perennial losers in the Eastern Conference has now been erased by general manager Sean Marks and head coach Kenny Atkinson.
Even more exciting for the Nets going forward though is the fact they have created enough cap space for potentially two max salary stars in free agency.
In order for that to happen though they would first need to trade Allen Crabbe, who is expected to activate his player option for next season worth $18.5million.
Russell also becomes a restricted free agent and how they handle that situation could affect how their free agency hunt pans out.
But Brooklyn will now be a considered a genuine threat to other teams battling for marquee free agents.