Chair of the Oireachtas Media Committee Fianna Fáil TD Niamh Smyth is to invite the entire RTÉ Board to attend a sitting of the committee.
Speaking on RTÉ's News at One, Ms Smyth said that she would like "to hear from the board collectively", as "we have heard a lot from the executive".
She welcomed today's publication of the Grant Thornton report into RTÉ, which she said "helps the committee" as it lets committee members "put behind us" the financial reporting of figures, and "get down" to the core issues of "governance and oversight".
"They've been clearly blindsided" and "treated with contempt" by the executive, she said of the RTÉ Board.
The Grant Thornton report reveals the "siloed attitude of the executive to the board", which was ill-informed on presenters' pay, Ms Smyth noted.
Board members "worked very hard to get on that board which is very prestigious", she added.
The report concluded that it was plausible that RTÉ under-declared Ryan Tubridy's earnings in 2017, 2018 and 2019 by €120,000 in order to keep his earnings for each year under €500,000.
Sinn Féin TD Brian Stanley, chair of the Public Accounts Committee, has also called for a further hearing involving key RTÉ executives.
He also said that questions remain has to why RTÉ under-declared the earnings of Mr Tubridy.
Responding to the publication of the Grant Thornton review, Mr Stanley said that the situation had the "appearance of being deliberate and concocted".
Mr Stanley called on Mr Tubridy to issue a "full apology" to the public, adding that he believed the presenter should have corrected the figures after they were published.
He also said that he had questions for the accountancy firm, Deloitte.
Asked if Mr Tubridy should return to work at RTÉ, Mr Stanley said that this would be a matter for RTÉ Director General Kevin Bakhurst.
Mr Stanley said that he would like the PAC to reconvene to discuss RTÉ at the earliest opportunity.
He will be recommending to its members that they invite the auditors Deloitte, Mr Bakhurst, Chair of the RTÉ Board Siún Ní Raghallaigh, RTÉ Director of Content Jim Jennings, former director general Dee Forbes, Chief Financial Officer Richard Collins, and former CFO Breda O'Keefe to appear before them.
It will be up to members to ultimately decide who is invited.
'Further lapses in governance'
Minister for Media Catherine Martin has expressed deep concern at the "further lapses in governance" revealed by the Grant Thornton report.
"It is also of key importance that RTÉ co-operates fully with the Oireachtas Committees which have been examining these matters," she added.
The minister has spoken to the chair of the RTÉ Board and "stressed the need for RTÉ to act with urgency to address these lapses and ensure that robust processes are put in place without delay".
In a statement, Ms Martin said that the report also highlights the "failure of proper internal controls and processes" within the national broadcaster.
Minister Martin emphasised the need for urgent action from RTÉ in order "to restore the trust and confidence which is expected of a public service broadcaster".
'Deliberate attempt to conceal'
Seamus Dooley, Irish Secretary of the National Union of Journalists (NUJ), said that the report has "confirmed my worst suspicions".
There was a "deliberate attempt to conceal the truth", he said. "There was a conspiracy here."
The report was "predictable in some respects, but it is absolutely devastating", Mr Dooley told RTÉ's News at One.
He said that there is "intense anger" on the RTÉ campus, where he had just attended a meeting of the RTÉ Trade Union Group.
"Trust is broken and it will be very hard to restore", Mr Dooley said, and he urged that the report be "used forensically" in the ongoing investigations into operations at the troubled national broadcaster.
While he is "very impressed" by the statements from the Chair of the RTÉ Board and the Director General, Mr Dooley said that this is only "a good start" and he wants to "see evidence" of their commitment to deliver.
Staff 'gravely disturbed'
In a statement this afternoon, the RTÉ Trade Union Group (TUG) said it was "gravely disturbed" by the findings of the second Grant Thornton review.
"The report gives rise to a number of questions about corporate governance failures, the role of the auditor, Deloitte and critically, for the TUG, the manner in which RTÉ engaged with its own workers, its trade unions and with the board," it said.
"We hope that the reviews on corporate governance and HR established by the government will provide the framework for dealing with the fundamental issues in the report.
"The trust that was shattered will not be easy to rebuild and trade unions will judge RTÉ by the actions and attitude of the management and Board of RTÉ from today."
Additional reporting Tommy Meskill, PA
