Theresa May and Irish Prime Minister Leo Varadkar are to visit Belfast later for talks with the Stormont parties.
It comes amid speculation the DUP and Sinn Féin are close to agreeing a deal to restore devolved government.
However, a DUP source has told the BBC a deal “is not likely” to be announced on Monday.
Several previous rounds of talks between the two parties have failed to break the deadlock.
David McCann holds a PhD in North-South relations from University of Ulster. You can follow him on twitter @dmcbfs