Independent TD Shane Ross has said the evidence seems to suggest that there is some sort of a contradiction and former taoiseach Brian Cowen's answers at the Banking Inquiry are somewhat "unconvincing".
Mr Ross told RTÉ's News At One that Mr Cowen's answers were "opaque" and it will be left to the committee to judge.
He said Mr Cowen's performance was different from last week, saying he came out fighting then, but, today, was more subdued and less convincing.
Mr Ross said that it will never be possible for anyone to contradict whether he overruled, or persuaded Brian Lenihan and he questioned why they had not agreed anything in advance.
Meanwhile, Fianna Fáil's Timmy Dooley defended Mr Cowen's performance before the Banking Inquiry.
Speaking on the same programme. Mr Dooley said Mr Cowen and other members of the former government had made it clear they are preparted to participate in this inquiry to the fullest extent possible.
However, he said in his view this had been a politically motivated inquiry from the very start, which was orchestrated to allow for "political point scoring."
Mr Dooley said he believed Mr Cowen had answered questions fully and to his satisfaction and had indicated from the very start he was prepared to come before the committee and deal with it openly and honestly.
He said he detected a change in tone in the committee this week, with the attempt by certain members "to make political charges and present them as fact" less evident.
Speaking on RTÉ's Six One News, Mr Dooley said that the former Taoiseach is setting out the context in which decisions were made, adding that he gave a good explanation around the guarantee and the limited nature of it.
He said that Brian Cowen is never too worried about optics, or outer spin and it is clear from his evidence that he was trying to manage the situation at the time, rather than focusing on the political impact.
Mr Dooley said that Mr Cowen made it very clear that when issues around governance at Anglo were made at a later stage he had no problem, then, moving towards nationalism.
Conor Lenihan, who was a Fianna Fáil TD and Minister of State at the time of the events being considered at the inquiry, has said that today's evidence is broadly in line of what we understand of that period.
He told RTÉ there is no doubt there was a difference of opinion about the nationalisation versus the broad guarantee that was given in relation to Anglo, but he does not believe it was a serious dispute of opinion.
Mr Lenihan said Patrick Honohan introduced the idea of Brian Lenihan being overruled by the then- taoiseach Brian Cowen but discussions between ministers are often a great deal more subtle than a case of one person overruling another.
He said Mr Cowen is correct when he said the least injurious option was entertained in relation to the guarantee, saying it was not an ideal solution to the difficulties being faced at that time, but it was the only one that could effectively be used to protect the public and protect the depositors.