Minister for Media Catherine Martin will bring proposals to Cabinet tomorrow for an independent external review into governance and culture at RTÉ.
The review is expected to assess whether RTÉ's governance framework culture is fit for purpose and will review the broadcaster's financial management, including the use of barter accounts, commercial agencies and representative agents.
It will also review workplace culture in RTÉ including between senior management and staff.
The three Government party leaders discussed the minister's proposals tonight.
Separately, Ms Martin has written to the RTÉ Chair and Deputy Director General reiterating the importance of "full and open" engagement by the board, the RTÉ Executive team and other senior managers with both the Oireachtas and the external review.
Meanwhile, the Public Accounts Committee is seeking access to RTÉ's finances following a meeting of its TDs this evening.
The PAC is going to use a legal instrument that would allow it scrutinise RTÉ's accounts for the first time.
The move will have to be agreed by the Dáil committee on Procedures and Privileges, and it would also have to be voted on in the Dáil chamber this week.
Senior RTÉ executives will appear before the PAC on Thursday afternoon to answer questions on undisclosed payments to presenter Ryan Tubridy.
RTÉ has also been invited to a meeting of the Oireachtas Committee on Media on Wednesday.
Last week RTÉ admitted that it paid Mr Tubridy hundreds of thousands of euro more over a period of several years than it declared to the public and to the Oireachtas.
Earlier, the Taoiseach said he has confidence in the RTÉ Board but said there has to be "individual responsibility" over payments to Mr Tubridy.
Leo Varadkar said he would encourage Dee Forbes, who resigned as RTÉ Director General this morning, to participate in upcoming Oireachtas committees, so the facts are known.
RTÉ will issue a comprehensive statement tomorrow setting out its understanding of the circumstances surrounding the misstating of Ryan Tubridy's earnings across the 2020 to 2022 period.
In a statement from the RTÉ Board this afternoon, it said it will publish "as much as possible" of the Grant Thornton review, which was commissioned by the Audit and Risk Committee of the RTÉ Board and received by the board last Monday.
"As per the RTÉ Board statement last Thursday, the circumstances that led to the misstatement of Ryan Tubridy's earnings from 2017-2019 are separately being reviewed by Grant Thornton and therefore will not be included in tomorrow's statement," the statement added.
In a separate statement this morning, the board confirmed that "representatives of the RTÉ Board and Executive will be attending the Joint Oireachtas Committee and Public Accounts Committee this week".
Speaking to reporters during an event at Dublin Castle, Mr Varadkar said: "I think people would like to hear her [Dee Forbes] side of the story and her version of events.
"It is still open to her to attend the committee hearings and I think she should."
He said he was "very disappointed" about the RTÉ payments controversy but has confidence in the board.
Mr Varadkar added: "I do want to point out that RTÉ is a big organisation, the vast majority of people who work in RTÉ would have no knowledge or involvement in this whatsoever and indeed the board would have only known about it relatively recently.
"We need to make sure we don't throw the baby out with the bathwater here."
Mr Varadkar said there is a need for individual accountability over the matter.
Tánaiste Micheál Martin said Ms Forbes should appear before the Dáil committees this week.
He told reporters in Luxembourg: "I believe there should be full presentations to the Dáil committees and obviously the former Director General would have knowledge of the entire situation and would be in position to clarify issues to the Oireachtas committee.
"The Government wants the fullest possible presentation at that Oireachtas committee and anybody who knows the details could bring clarity, and that's what the people want, it's what the Oireachtas wants."
Chair of the Oireachtas Committee on Media Niamh Smyth said she still expects that Ms Forbes will attend on Wednesday.
Ms Smyth said it would be a measured and controlled environment, which she felt was the one and only opportunity to present the facts of what happened regarding the non-disclosure of payments.
Asked about Ms Forbes' statement, in which she said the situation had a "very serious and ongoing impact" on her health, Deputy Smyth said that the former DG had been invited to attend and, as it stands, she was hoping that would happen.
Speaking on RTÉ's Six One News, Ms Smyth also said that RTÉ's appearance before the committee is "a golden opportunity that I hope they won't blow".
Ms Smyth said: "It would be very foolhardy of RTÉ, to come in, not be frank, honest and as open as possible with members."
She said that those involved in the payments must bring clarity and that "commercial sensitivity is not going to wash at this committee meeting."
Read more:
RTÉ Director General Dee Forbes resigns amid payments controversy
In full: Resignation statement from Dee Forbes
Minister announces external review of governance, culture at RTÉ
Chairperson of the PAC Brian Stanley said the "central players" in the controversy should appear before the PAC on Thursday and that Ms Forbes should attend if possible.
The Sinn Féin TD said: "One of the encouraging things since last Friday morning for me is that the news staff and the reporters in RTÉ have gone after this story and have covered it every bit as diligently as if it was anybody else. Totally impartial and they have provided a good public service."
He added: "That's encouraging to see that that hasn't been hampered."
RTÉ must outline how much it is paying Patrick Kielty to present the Late Late Show, a Fine Gael TD has said.
Colm Burke, who sits on the PAC, said the broadcaster must be fully open and transparent.
Secretary of the National Union of Journalists Séamus Dooley said the executives involved in the negotiations should be before the Oireachtas committees.
Speaking on RTÉ's News at One, he said: "I want to know whether those executive members who attend were part of people who signed off on these deals and what the NUJ has now called for is for the Chair [Siún Ní Raghallaigh] to meet each member of the executive board and to clarify their individual involvement, if any, in these arrangements.
"I think the same questions remain, we do not know at the end of the day who was involved in the negotiations."
He said it "would be bizarre if members, executives, from RTÉ who were not involved in the arrangements were to appear before the committee".
Anger and shock among staff
At an emergency meeting of the RTÉ Trade Union Group, staff representatives expressed anger and shock at the controversy.
In a statement, the TUG said: "There is an unprecedented level of anger across the organisation. Having accepted pay cuts in the past, having endured a series of austerity measures and a reduction in resources, RTÉ workers feel betrayed, misled and let down.
"The TUG calls for all current members of the RTÉ Executive Board to fully cooperate with the Oireachtas sub-committees on Media and Public Accounts."
In a motion adopted at the meeting, the TUG also called on Ms Forbes to attend the committees.
Former midlands correspondent Ciaran Mullooly said that during Covid, when the payments to Mr Tubridy continued, RTÉ was furloughing staff, freelance workers were being laid off and resources were cut.
Speaking to RTÉ's Today with Claire Byrne, he said: "When I think back on some of the projects that I was involved with in RTÉ, which were stopped and could not go ahead because of a lack of funding, I am absolutely angry and frustrated today and above all I am very sorry for my colleagues who are still in the organisation who have to take cuts."
Mr Mullooly said that in some places within the RTÉ newsroom today, people are doing the job of two and three people because of cutbacks and a reduction in staff numbers.
'Inaccurate information' given to Naughten
Independent TD Denis Naughten, who served as communications minister between May 2016 and October 2018, said he gave "inaccurate information" to cabinet in relation to RTÉ's finances based on figures provided to him by the broadcaster.
"When I was minister I was being informed by Dee Forbes in terms of the huge pressures there were on advertising revenue.
"I never knew that some of that advertising revenue was then being handed back to companies that were actually placing those advertisements.
"It put me in a very difficult position because effectively I gave inaccurate information to cabinet."
He added: "RTÉ needs to publish as much information as possible, not just in relation to the salaries of senior staff but also the operation of this barter account."
Additional reporting Tony Connelly, Paul Cunningham, PA
