During a trip to Belfast on Wednesday, Micheál Martin is anticipated to meet with some of the major parties at Stormont.
This will be the Tánaiste's (Ireland's deputy prime minister) first trip since the local elections last month.
For the first time, Sinn Féin is now the dominant force in both local government and the assembly.
The Democratic Unionist Party (DUP) protested post-Brexit trading regulations by dissolving Stormont's power-sharing executive last year.
Additionally, the party has prevented the Northern Ireland Assembly from operating.
The Stormont parties stated last month that in order to manage budget pressures in a future executive, they would require at least £1 billion in additional funding.
They had just met with the head of the civil service to talk about the ongoing governance gap when they started speaking.
Mr. Martin said it was "significant" that the major political parties were discussing the need for additional funding in the event that power-sharing was reinstated.
Since Michelle O'Neill, vice president of Sinn Féin, is still in the US, Conor Murphy is anticipated to represent the party at the negotiations.
In order to discuss the political climate in Northern Ireland in light of the results of the council elections, Ms. O'Neill traveled to Washington on Monday. There, she met with top US officials and members of Congress.
144 council seats were won by the party, an increase of 39 over its performance in 2019.
Due to the DUP's ongoing boycott, Ms. O'Neill has not yet assumed her new role as first minister.
Micheál Martin and the parties have a lot to talk about because the election results are still being processed and Stormont is not coming back.
However, he would have preferred a more bare-bones cast list.
While DUP leader Sir Jeffrey Donaldson and SDLP leader Colum Eastwood are both in London, Sinn Féin vice-chair Michelle O'Neill is visiting the United States.
Instead, Sinn Féin will send Conor Murphy. Mr. Eastwood will telephone the tánaiste. According to the DUP, Sir Jeffrey might follow suit.
As a result, only three of the five major Stormont parties will actually be present.
The message of Mr. Martin's visit would be that the people of Northern Ireland deserved devolved government and he hoped to engage with all parties.
"I've been a consistent believer that when people vote in an election they deserve to have their public representatives representing them in a parliament, in this case in an assembly," he said to the media at the Bloom Festival in Dublin.
"Secondly, I believe that the Windsor Agreement made significant progress in addressing many of the concerns that the DUP, UUP, and others had regarding the free flow of goods into Northern Ireland from Great Britain.
"With the British Government and all of the parties, our ultimate goal is to get the assembly and the executive restored. I will be listening as well to hear different points of view. " .
The meeting on Wednesday takes place as UK Prime Minister Rishi Sunak gets ready to fly to Washington for talks on trade with US President Joe Biden.
The White House stated that the two would also talk about the circumstance in Northern Ireland.
Another meeting between Stormont parties and Jayne Brady, the head of the civil service, is anticipated to take place on Wednesday as well. where governance and financial gaps are anticipated to once again take the top spots on the agenda.