Theresa May heads to Brussels after nightly talks on the subject of the Irish border.
The Prime Minister and Secretary of the Brexit David Davis will meet with the President of the European Commission Jean-Claude Juncker and the EU negotiator Michel Barnier, said Downing Street.
Laura Kuenssberg of the BBC was told last night that there were "serious ideas" on the table with which the different parties were very happy.  It is understood that additional terms have been added to rebadure the DUP.
The opposition of the party on Monday led to the breakdown of the talks.
The meeting in Brussels will take place at 07:00 local time (06:00 GMT).
On Thursday afternoon, the spokesman of the European Commission, Margaritis Schinas, tweeted: "We are making progress, but we are still not completely there", adding: "Tonight more than ever, be attentive".
But a Democratic Union Party source urged caution, saying the team "was still working".
In the early hours of Friday, Prime Minister Gavin Barwell's chief of staff, tweeted: "Domicile for 3 hours and then return to work," without providing further details.  All parties want to advance the issue before a crucial summit next week, so the talks can move towards the future relationship between the United Kingdom and the EU after Brexit.
What happens with the The border between Northern Ireland and the Republic of Ireland has been one of the key points in the Brexit negotiations.
On Monday, the DUP, whose support the British prime minister needs to win key votes in Westminster, objected to draft plans drafted by the UK and the EU.
They included the alignment of regulations in Northern Ireland with those of the Republic to avoid border controls.
The DUP insists that it will not accept any agreement in which Northern Ireland will be treated differently from the rest of the United Kingdom.  The Republic of Ireland, on the other hand, which is a member of the EU, wants a guarantee that there will be no hard border between Northern Ireland and after Brexit.
The United Kingdom, which must leave the EU in March 2019, wants to open talks on a new free trade agreement as soon as possible.
The EU will only agree to discuss this when it judges that sufficient progress has been made in the "separation issues": the "divorce bill", the rights of expatriate citizens and the border of Northern Ireland have been subject of negotiations so far.
So the United Kingdom is trying to solve the border problem in Northern Ireland before the EU leaders meet next week.