Cr Paul Hudson, who chaired that part of the meeting, responded with a "no comment" last night when asked about the matter, which was discussed in the non-public part of the meeting.
He said a decision had been made, and Mayor Peter Chin would release details "in due time".
Cr Stevenson confirmed in February she was the subject of a code of conduct inquiry alleging she leaked to the Otago Daily Times details of a confidential letter to the Government, written by Mr Chin and Otago Regional Council chairman Stephen Cairns.
The letter sought government funding for the stadium project.
Its contents were eventually disclosed, and revealed Mr Chin offered the Government a share of equity in the council's $70 million social housing portfolio in return for funds.
Cr Hudson said Mr Chin and deputy mayor Syd Brown did not take part in the discussion because they were involved in the matter.
The meeting was in private, the meeting's agenda said, as "the public conduct of the whole or the relevant part of the meeting would be likely to result in the disclosure of information for which good reason for withholding exists".
Cr Stevenson could not be contacted last night.
