Sinn Fein has said it will have “no demands” for facilitating the appointment of a new First Minister, other than a commitment to agreements already made.
The party’s MP for South Down Chris Hazzard has said there is “no Sinn Fein shopping list” for fresh concessions from the DUP.
DUP party officers have set a date of June 26 to elect a new leader, with the newly-appointed First Minister Paul Givan having been told he will be expected to step down as part of the transition.
Appointing a new First Minister will require Sinn Fein to renominate Michelle O’Neill as deputy First Minister in order to keep Stormont up and running.
Anger at a UK Government pledge to grant Sinn Fein a key concession on Irish language laws led to Edwin Poots’s resignation as DUP leader after just three weeks, but Mr Hazzard says his party will have no further demands.
He said: “We will have no demands, other than that people are faithful to commitments and agreements that have been made.
“So 15 months ago we all restored devolution on the basis that the commitments made in St Andrews 15 years ago, that they will be finally realised in legislation.
“That’s where all the parties bar the DUP are at, it’s not just Sinn Fein saying this. That’s where I believe certainly the vast majority of people in the public are.
“There’s no shopping list and there’s certainly no Sinn Fein shopping list.”
Mr Hazzard denied Sinn Fein were culpable for the latest Stormont crisis, by bypassing the DUP and calling on Westminster to legislate for the Irish language.
He said the DUP were “caught in a cul-de-sac of their own making”.
He told Sunday Politics Northern Ireland on BBC One: “When people are looking in at what’s happening in the DUP, if it wasn’t so serious it would be farcical.
“There’s no doubt that the DUP have caught themselves in a cul-de-sac all of their own making in recent years.
“I think they have been unwilling and uncapable to deliver on people’s rights.
“For all the shouting about the protocol and Brexit, we have to remember it was gay conversion therapy that brought Arlene Foster down, and it was delivering on Irish language rights that brought Edwin Poots down. That’s a really sorry state of affairs.”
The current frontrunner for the DUP leadership is Lagan Valley MP Sir Jeffrey Donaldson.
His future could be known as early as Tuesday, the deadline for nominations in the leadership contest, if he is selected unopposed.
The DUP is craving stability after a turbulent two months that has seen former leader Arlene Foster resign after an internal heave against her and Mr Poots follow suit after he was also fatally weakened by a party revolt.
His resignation on Thursday night came after just three weeks in the post.
It was prompted by his decision to press ahead with reconstituting the Stormont Executive alongside Sinn Fein, despite a significant majority of his MPs and MLAs being vociferously opposed to the move.
Sir Jeffrey narrowly lost to Mr Poots in last month’s DUP leadership contest to replace Mrs Foster.
Chastened by that bruising campaign, the party hierarchy’s preference is for an uncontested appointment this time round, though it remains to be seen whether Sir Jeffrey, if he does run, will face any challengers.
That will soon become clear, after DUP party officers set a deadline of 12 noon this Tuesday for nominations in the leadership contest to be submitted.
A meeting will be held next week, on June 26, at which the next DUP leader will be selected.
Speaking on Saturday, party chairman Lord Morrow said: “Following a meeting of the party officers in Belfast today the following decisions were taken.
“The party officers have set the date of June 26 as the date for a meeting to elect a new leader.
“In accordance with the constitution and rules of the Democratic Unionist Party only party members, who are also members of the Northern Ireland Assembly and the House of Commons are entitled to vote for the leader or deputy leader. Details have been sent to all eligible voters.”
During the last campaign Sir Jeffrey vowed to quit as an MP in Westminster to return to the Assembly and take up the role of First Minister.
If that were to happen, it would mean a Westminster by-election in Lagan Valley, a seat held by Sir Jeffrey since 1997.
One possibility is that he could seek to replace Mrs Foster as the MLA for Fermanagh and South Tyrone when she steps down.
However, with the DUP currently in such turmoil there are doubts whether the party would want to voluntarily trigger a by-election in Lagan Valley any time soon.
Another option could see Sir Jeffrey wait until just before the next Assembly election, scheduled in May 2022, before he resigns his parliamentary seat.
In that scenario he might appoint a temporary First Minister to fill the role in the interim.