“[They] held further discussions on matters relating to the recent announcement by the president of the intention to hold an inquiry into the NDPP’s fitness to hold office,” the presidency said in a statement.
Zuma was expected to have another meeting with Nxasana soon.
In August, Zuma notified Nxasana that he was considering suspending him pending an inquiry into his fitness to hold office.
Nxasana filed an urgent application in the High Court in Pretoria this week seeking an interdict to stop Zuma from suspending him before he had been provided with full details of the allegations against him and given a chance to make further representations.
Judge Joseph Raulinga postponed his application indefinitely.
Zuma announced his decision to institute the inquiry on July 5, after reports emerged that Nxasana had apparently not been given a security clearance because of past brushes with the law.
This included being tried for murder about 30 years ago. He was acquitted on the charge based on his version of self-defence.