Dames said they wanted to discuss coal contracts as well as the New Age breakfast deal.
He said he did not know who the people were but said he believed one of the individuals was one of the Gupta brothers. "I was very angry after this meeting".
Dames said that an inquiry into state capture allegations at Eskom should have been carried out a long time ago. "I told Mr Mahlangu not to bring these people to me again", he said.
The chairperson of the portfolio committee on public enterprises, Zukiswa Rantho, asked him to be more specific and name the minister as well as his advisor.
When pressed by Economic Freedom Fighters (EFF) MP Floyd Shivambu for clarity, Dames was unable to recall which of the Gupta brothers he had met. It went like this, "we have chose to work with you".
He told the committee that by the time he resigned in March 2014, it had become hard to vouch for governance at Eskom, which had been in good shape before the board changes were instituted. The board was led by Zola Tsotsi. But I do think you are too late.
Dames gave evidence in a parliamentary inquiry into allegations of grand corruption at Eskom.
His testimony came nearly exactly a year after then Public Protector Thuli Madonsela released her report "State of Capture". "It was very unusual because Lethabo is a unique power station and needed no additional coal".
Dames said he eventually resigned because of interference in the running of Eskom.
Former Eskom CEO Brian Dames has told lawmakers he stepped down from his position in 2014 as it had become hard to vouch for good governance at the parastatal.
Earlier he told the inquiry that when he was CEO the board frequently interfered in procurement processes. The contract was eventually awarded to French company Areva, on Matjila's watch, and prompting a legal challenge from Westinghouse.