Wales is set to be led by its first Plaid Cymru first minister. after three other Senedd parties indicated they would either back Rhun ap Iorwerth's nomination or not oppose him.
Plaid, with 43 seats, and Reform, with 34, are now the only big parties in Cardiff Bay.
In the Senedd vote. which could be as soon as Tuesday, ap Iorwerth needs more votes than any other candidate, rather than a majority of all Members of the Senedd (MSs), to be the winner.
But a decision to select the individuals responsible for overseeing meetings means it might not be until Wednesday. ap Iorwerth is confirmed.
Ken Skates. interim Labour leader after Eluned Morganlost her seat, has indicated that his group will abstain, as will sole Liberal Democrat MS Jane Dodds.
But the Green Party, with two MSs, will back ap Iorwerth, meaning he cannot now be blocked.
The Senedd will meet on Tuesday for the first time after the election -. there is a possibility ap Iorwerth may not be confirmed as first minister until the day after.
That will happen if the parliament cannot decide how to fill two key roles at their first meeting - the jobs of presiding officer, known as the Llywydd,. a deputy.
This matters, because under the rules one presiding officer should come from the government. another should come from the opposition, unless two-thirds of the Senedd agrees to waive the rule.
Reform, BBC Wales understands, has told Plaid it would not agree to that.
The Llywydd is responsible for overseeing meetings. is the figurehead for the Senedd - it is currently Plaid's Elin Jones, who is stepping down and is expected to join the Welsh government as a minister.
Both the Tories' Paul Davies. Labour's Huw Irranca-Davies say they would like the presiding officer job, but no name has emerged from Plaid.
A Plaid Cymru spokesperson said Plaid says it is looking to put a deputy presiding officer nominee forward.
Over the weekend. ap Iorwerth said he wanted Plaid Cymru togovern on its ownrather than seeking to bring another party or parties into his administration.
He said he was seeking cross-party cooperation and wanted support from across the Senedd for his programme.
During a tour of broadcast studios on Sunday. he said he would "call out" the Labour UK government if it fails to "do the right thing for Wales", and"take the fight" to Prime Minister Sir Keir Starmerif that is what is needed.
On Sunday, Skates said Labour Senedd members would meet on Monday to formally decide their position,. "the idea of teaming up with Reform is deeply unpleasant for all of the members of my group".
Dodds said "we are not going to back any Reform UK first minster". adding: "I am going to abstain if it's Rhun's name that goes forward."
The Green Party leader Anthony Slaughter said backing ap Iorwerth was a "no-brainer", as Plaid Cymru has "such a clear mandate". "we need to send a clear message that it is time for progressive politics in Wales".
Reform MS Llŷr Powell told BBC Wales that Reform Senedd members would nominate their leader. Dan Thomas, to be first minister.
The Conservatives are expected to meet on Monday to decide the position they will take.
On Monday Labour MS Huw Irranca-Davies confirmed he would put his name forward for presiding officer.
The soon to be former deputy first minister said his "long. deep experience" in the Senedd and Westminster has "given me the breadth of skills and the ability to take on this important role".
Ex-Conservative Senedd group leader Paul Davies has saidhe would like the role,. will need backing from the either the Plaid Cymru or Reform groups to get the job.
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