The Garda Representative Association is to consider the unprecedented move of not inviting the Garda Commissioner, Martin Callinan, to its annual conference.
The rank-and-file Garda union has already confirmed that the Justice Minister Alan Shatter will not be invited to attend the event in April.
Around 30 members of the GRA are staging a protest outside Government Buildings today, as part of their opposition to the new public sector pay deal.
PJ Stone, the GRA General Secretary, said a decision will be taken next week on whether or not to invite Mr Callinan to the meeting in Mayo.
Mr Stone said: "It would hardly be plausible to invite a minister that an executive has decided they have no confidence in.
"We have not made a decision yet in respect of the commissioner and we will be making a decision in the coming days.
"There is an issue from the members on the ground who are very angry and very agitated."