Progress has been reported in talks about the formation of a minority government, with some sources saying the possibility of a vote taking place on Friday cannot yet be ruled out.
Independents will meet with Fine Gael again tomorrow morning to discuss a draft document which would form the basis for a programme for government.
Finian McGrath, John Halligan, Michael Healy Rae and Mattie McGrath, who left Government Buildings tonight, said others are continuing to negotiate, but it will be tomorrow before talks are concluded.
Finian McGrath said he has made good progress and is satisfied on the issues of importance to him.
Mr Halligan said progress has been made on his key issue of cardiac care in the southeast, but he will need further talks with consultants and will also need to talk to his supporters before he commits to anything.
Mr Healy Rae said he thinks there could be a vote on taoiseach as early as tomorrow night.
He said there are three documents - the Fine Gael/Independent Alliance document, one from the Rural Alliance and the FG-FF agreement - which need to be amalgamated into a programme for government.
Mattie McGrath said he could not say how he will vote until he sees a final document, but mortgage repossessions, the leader companies and the national roads programme are three big issues for him.
Rural Alliance TD Noel Grealish said earlier that the talks had hit a few stumbling blocks and those issues have been parked, but the two sides are working through the document agreed between Fianna Fáil and Fine Gael.
He said he expects to come back tomorrow for further discussions.
Mr Grealish also said independents will have to go back to their constituencies to consult before any final agreement.
Minister for Transport Paschal Donohoe, meanwhile, said progress has been made and most of the issues being discussed are national ones.
The minister said that he expects talks to go on late tonight and that any agreements made with independents will be published.
Meanwhile, Independent TD Maureen O'Sullivan said she has not decided yet whether to support a Fine Gael-led minority government.
She said she is considering the documents and would make her mind up in the coming days.
Ms O'Sullivan said she had to decide if she could make a difference being inside or outside. She also said the idea of supporting a minority government is exciting but that she still has questions about the process.
Housing and health 'main issues' in FG/FF talks
Fianna Fáil's Jim O'Callaghan has said water was not the main issue in recent talks with Fine Gael, despite reports.
Speaking on RTÉ's Today with Sean O'Rourke, Mr O'Callaghan said that housing and health were the two main issues.
He denied that Fianna Fáil will want to pull down the government in the future.
Fianna Fáil recognises the likelihood is that minority governments will be the norm in the future and that his party was honoured to have been part of forming the first one, he added.
Meanwhile, the managing solicitor of the Mercy Law Resource Centre has said there is no right to housing in Irish law and the lack of this right is becoming evident in the current crisis.
Speaking on RTÉ's Morning Ireland, Maeve Regan called for a right to housing to be enshrined in the Constitution, which she said is common in other countries.
She welcomed commitments from Fine Gael and Fianna Fáil to provide more public housing and provide supports for those in arrears.
However, she said she would like to see an enduring protection put in place to underpin future policy and legislation.
