Senior DUP figures are meeting at Stormont as discussions continue over the return of devolution.
Shortly before 18:00 GMT on Thursday, the party's Westminster leader Sir Jeffrey Donaldson said the talks were at a "critical moment".
Sir Jeffrey said they are continuing to discuss a potential deal internally and with the governments.
He said they were working towards reaching an agreement that was "fair and balanced".
He stressed the importance of the sustainability of any deal that may be reached.
It is understood both the DUP and Sinn Féin have seen a text of a draft deal. It is understood the smaller parties have also now seen the draft agreement.
A number of DUP MPs returned from Westminster earlier than expected for internal party discussions.
The power-sharing coalition fell apart in a bitter row between the DUP and Sinn Féin.
If devolution is not restored by Monday, a fresh assembly election could be called.
The talks involve Secretary of State Julian Smith, Tánaiste (Irish Deputy PM) Simon Coveney and Stormont's five largest parties.
But the SDLP's deputy leader Nichola Mallon said she is frustrated three parties have yet to be briefed on the text of a draft deal.
Ms Mallon said the SDLP was in "solution mode" but had been kept out of the detailed negotiations.
The Speaker Robin Newton and his staff have been at Stormont House on Thursday where the discussions have been taking place.
Simon Coveney said he had returned to Stormont for the talks, describing Thursday as an "important" day.
Northern Ireland has been without devolved government since January 2017.
Proposed legislation for an Irish language act and reforming the petition of concern, the assembly's controversial veto system, are among the key sticking points in the ongoing talks.
The DUP has been accused of holding up a deal.
Sinn Féin Vice-President Michelle O'Neill said that Monday was a "real deadline" for the conclusion of the talks process.
She added that Sinn Féin is willing to go back into an executive, but it has to be the way in which the late Martin McGuinness, her party's former deputy first minister, wanted it to happen.
Mr McGuinness resigned as deputy first minister as a result of the Renewable Heat Incentive (RHI) scheme scandal.
Ms O'Neill said the party was always ready to go into a "just government" but that there would be "no return to the status quo".
The Ulster Unionist Party (UUP) MLA, Mike Nesbitt, said it was time for the DUP and Sinn Féin to decide if they will return to power sharing.
Mr Nesbitt said the parties had done enough negotiating and that a final call needed to be made.
He added that the UUP had not been briefed or seen anything relating to the text of a draft deal.
Since Stormont collapsed, civil servants have been running day-to-day operations - but have needed Westminster to pass some legislation for some areas they do not have powers over.
In July, the government extended a law that gives civil servants flexibility to take certain decisions, but that runs out on 13 January 2020.
The government then has two options if devolution is still not restored. Either bring forward another new bill to push back the date, or call a fresh assembly election.
In the past, it has opted to pursue legislation but the current Secretary of State Julian Smith has insisted he will call another poll if the parties do not reach a breakthrough by 13 January.