A meeting of the Technical Group of independent and small party TDs today has agreed that Mick Wallace is not welcome as a member.
They have asked the Ceann Comhairle to arrange speaking time for Deputy Wallace, rather than using Technical Group time.
Mr Wallace resigned from the group when details of his settlement with the Revenue Commissioners were made public before the summer.
It is understood he has recently sought readmission to the group, which is an arrangement allowing TDs outside the main parties to have access to speaking time and other privileges in the Dáil.
It is not clear whether, under Dáil rules, the group has the power to refuse admission to any deputy who wants to join it.