One returning councillor has also blocked his calls.
An email from Dunedin City Council chief executive Sandy Graham to Mr Ong said the meeting was intended to be about supporting him in his role and ensuring there was a safe and professional workplace environment for everyone.
She told the Otago Daily Times there were no code of conduct proceedings in play.
Mr Ong forwarded to the ODT the email he had been sent by Ms Graham.
In it, she also congratulated him on his election, acknowledging the energy and commitment he had brought to the role already.
As chief executive, it was important for her to ensure the workplace was safe, respectful and inclusive, she said.
"I’ve received feedback from several people who have felt uncomfortable in recent interactions with you," she told Mr Ong.
"I believe we can work together constructively to ensure you feel confident in your role and that others feel safe and respected in their interactions with you."
Mr Ong told the ODT he was unsure if a meeting would be beneficial as he remained focused on preparing to serve the community.
Responding to questions from the ODT, Ms Graham said in an email the invitation to a meeting came after feedback from several people about recent interactions with Mr Ong.
"The aim of the meeting, which is yet to occur, is to have a constructive discussion about the way forward."
Mr Ong repeated to the ODT his description of his election on to the council as being like joining a family.
He had met incoming mayor Sophie Barker and other councillors since his election at the weekend.
"I really want to work with everyone."
There has been scepticism online about the banking background he outlined on the campaign trail, and calls for him to prove his credentials.
Mr Ong has repeatedly said his credentials are factual.
The ODT has sent requests for confirmation to his listed places of former employment.
Statements about his background were also questioned on The Platform radio station by his colleague Cr Lee Vandervis this week.
Cr Vandervis said last night Mr Ong "harangued" him at length afterwards on the phone.
He said Mr Ong continued to talk over him and Cr Vandervis repeatedly hung up before blocking Mr Ong’s number.
Mr Ong disputed this characterisation — he said the tone from Cr Vandervis became unpleasant before the call was cut short and Mr Ong then made reasonable attempts to re-establish a connection.
