Waterford's Sinn Féin councillors are requesting a special meeting with the Mayor over their treatment at this month's council meeting.
On Thursday, the five members staged a short walk-out in protest, they say, for not being afforded an opportunity to speak.
A change was made to the meeting's agenda which moved the vote for the new Deputy Mayor forward and pushed the discussion of the manager's report to the end.
The Sinn Féin members say this move ran the risk of councillors not getting to properly discuss the most important document.
During a manager report, each councillor is awarded two minutes to hold the manager to account, to ask questions, and to highlight issues.
Councillor Conor McGuinness says they were dismissed when they tried to object to this.
"We don't feel we had the opportunity that we would expect and normally have to exercise our mandate, to ask questions of officials, to have those questions answered, and to make proposals," he told WLR.
Councillor McGuinness and his party colleagues felt overlooked and disappointed. They've now requested an urgent meeting with the Mayor so they can make their feelings known.
He says that he doesn't know why it happened but that it cannot continue to and he and his colleagues will not accept a situation where they are not given the opportunity to speak.
The meeting that Sinn Féin have requested with the Mayor is to go through what they saw as the problem and to avoid this type of situation in future meetings.
Councillor McGuinness says Sinn Féin are open to talking and they hope that the Mayor will take them up on the offer.
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