Several opposition parties have issued a joint call on the Government to agree to the request from the Women of Honour for a statutory inquiry into their complaints.
The Government has commissioned a judge-led review of various issues in the Defence Forces, although Taoiseach Micheál Martin has said that a full Commission of Investigation has not been ruled out for the future.
The Women of Honour group has said the review is "flawed and unfit for purpose".
They want a statutory inquiry which they say is the only means to get to the "heart of the toxic culture in the Defence Forces".
Today, Labour, the Social Democrats, People Before Profit, Aontú and five independent Oireachtas members sent a joint letter to the Taoiseach rejecting the review and its terms of reference.
The letter says that the Minister for Defence, Simon Coveney, "must fulfil his promise to the Women of Honour and facilitate their input into the creation of a fully independent and external Commission of Investigation into Bullying, Discrimination and Sexual Violence in the Defence Forces and the systemic resistance within the Defence Forces which prevents victims and survivors achieving justice.
"These women were in the service of the State, often putting their lives at risk for us. We owe a debt of gratitude to these women for the campaign and work that they have undertaken.
"These citizens have been forced to publicly articulate extremely harrowing stories."
The initiative was put together by Aontú leader Peadar Tóibín who organised a briefing by Women of Honour for Oireachtas members earlier this week.
Sinn Féin has not signed the letter although it is understood it was approached.
The party has previously called for a Commission of Investigation to be set up to investigate the women's complaints.
The five independents who signed the letter are Denis Naughton TD, Mattie McGrath TD, Catherine Connolly TD, Senator Sharon Keoghan and Senator Frances Black.
