The meeting was described as "preliminary," according to a source, as Riley attempted to sell Deng on the benefits of joining the four-time defending Eastern Conference champions.
Sources told ESPN The Magazine's Chris Broussard that Deng will not take a salary significantly below his market value, believed to be above $10 million annually, merely to sign with the Heat.
Deng has several suitors, including Dallas, Atlanta, Chicago and the Los Angeles Lakers, but a source said Riley's pitch intrigued him.
Deng has meetings with other teams scheduled for next week. It is not clear whether he will meet again with Miami.