The Fianna Fáil leader Micheál Martin has said his party will facilitate a minority, Fine Gael-led government regardless of its make-up.
Speaking at the party’s annual commemoration at Arbour Hill, Mr Martin said it was not up to Fianna Fáil to dictate the composition of that government but that his party would seize the opportunity to be part of a change in politics.
He said Fianna Fáil would not be signing up to a programme for government. But he accepted that an undertaking would have to given.
However he said precisely how this would be done needed to be worked out by the negotiators.
Other Fianna Fáil members have expressed reservations about the possible formation of a Fine Gael and Labour government.
Dublin Bay North TD Sean Haughey said such a government would have problems with the electorate, and perhaps a more broad-based coalition including the likes of the Greens would be more acceptable
Mr Haughey said that a Fine Gael-Labour minority government would raise eyebrows among the electorate but that Fianna Fáil will reach some sort of arrangement with Fine Gael.
Asked for his opinion as he arrived for the Fianna Fáil commemoration at Arbour Hill, former Taoiseach Bertie Ahern said "I'm staying away from that".
Newly elected TD for Kildare South Fiona O'Loughlin said the party had mixed emotions and mixed feelings about supporting a Fine Gael-Labour minority government but that it was a difficult situation.
At their annual commemoration at Arbour Hill some FF members express reservations about a FG Labour minority govt pic.twitter.com/f4zYXotI7C
— Samantha Libreri (@SamanthaLibreri) April 17, 2016
She said there had been a lot of mixed views in the party about what they should do.
Former Minister Éamon Ó Cuív said that his party had to recognise that Fine Gael and Labour are joined at the hip and have been for some time.
He said that supporting a government was a challenge but that after seven weeks "we do need a government".
Former TD Conor Lenihan said he did not know what members think about the prospects of supporting a Fine Gael-Labour minority government but he said that if there is a need for a solution and a stable government he was sure that Fianna Fáil would like to be a part of that.
Earlier, Green Party Leader Eamon Ryan has said he expects to be talking to Fine Gael negotiators next week about offering support for a minority government from the opposition benches in the Dáil.
Speaking on RTÉ's Marian Finucane Show he said he "wouldn't rule anything out" but added the Greens always felt that they would be serving from the opposition.
Mr Ryan said he believes talks will be not "wrapped up" by Wednesday, adding that another election would be a sign of failure as it would not change anything and "we would be back in the same ball game”.
He said: "We've been talking to each of the other parties and this week we did that with Fine Gael, Labour, the Social Democrats, Sinn Féin and Fianna Fáil and I expect to do that again next week."