Only party President Cyril Ramaphosa‚ his top six leaders and ANC Eastern Cape chairman Oscar Mabuyane were allowed into the palatial home located along the N2 near Mthatha.
According to Mandla‚ who is also the chief of the Mvezo and an ANC MP‚ other NEC members were later allowed inside "and were given breakfast like everybody" else.
The idea is that Dlamini-Zuma serve as Acting President until the outcome of the general elections due to take place in the second quarter of 2019.
The Mail & Guardian is reporting that Zuma has attached a set of conditions should the party ask him to resign, including the retention of his appointments to the energy and state security portfolios.
But on Tuesday night, on the eve of the meeting, Zuma announced that he would establish a commission of inquiry into state capture. "Bongo has been in the media for all the wrong reasons since he was appointed", another NEC member said.
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It had been widely expected that the NEC would discuss the removal of Zuma at its first meeting on Wednesday.
Mahlobo is seen as key to Zuma's desire to see the nuclear energy plan be implemented, and allegedly put pressure on government officials to rush the implementation of the plan.
Earlier this week, newly elected secretary general Ace Magashule did not address the question of whether Dlamini-Zuma should become the interim president, but stressed she played a pivotal role in uniting the ANC.
ANC spokesperson Zizi Kodwa reportedly said the ANC was aware of discussions between Zuma and Ramaphosa about "how to we ensure Luthuli House remains a centre of power without undermining the office of the president of the republic", but said he knew nothing of Zuma's reported conditions. King Zwelithi allegedly backed the proposal to have Zuma recalled as head of state.