New Congress live updates: What's next after Kevin McCarthy's speakership win

McCarthy is likely to continue negotiating into Wednesday night, after two days of failed speaker votes, and ABC News has learned that he is working to set up talks to attempt to come to an agreement with the group of 20 voting against him.

The logistics of such talks are still being nailed down -- and according to people close to him, there is no singular leader of this group of 20.

When this will happen is unclear. Democrats and some Republicans have not yet wanted to adjourn the House, meaning they do not have the votes for adjourning and then continuing negotiations.

Off the House floor during the sixth round of voting, which McCarthy looked set to lose as well, he told reporters that "we're gonna break in a little then go meet" when asked what's next. He did not give any other specifics.

The House on Tuesday afternoon adjourned for the day after three rounds of votes, and they could repeat that pattern on Wednesday.

McCarthy has already made some major concessions to his critics without winning their support. He has agreed to lower the threshold to five members to force a vote to remove the speaker -- known as a motion to vacate the chair.

Some anti-McCarthy members want this threshold to be lowered to one member.

Others have said that they want more responsibilities on the the panel charged with placing members on committees -- known as the steering committee -- and have proposed giving more members of the House Freedom Caucus and Republican Study Committee designated seats on it.

McCarthy would likely only agree to this if he knew he was able to flip enough votes.

Former congressman Justin Amash, who left the Republican Party in 2019 and became the first member of Congress to call for Donald Trump to be impeached, is also present on the House floor.

He spoke to reporters, saying he's here to pitch himself as a consensus speaker candidate if he's needed and said he plans to speak to members about it. (This is a long shot bid, although the speaker does not need to be a current member of Congress.)

-ABC News' Katherine Faulders and Will Steakin

Rep. Scott Perry, R-Pa., the chair of the hardline House Freedom Caucus, nominated Rep. Byron Donalds, R-Fla., for speaker in the sixth round of voting.

"He has accomplished many things. He is a man of faith, he is a family man, he is a businessman … he has come from the school of hard knocks," Perry said. "He's got a record of accomplishing things. He's got a record of being on the right side. He is respected. He is trusted."

Perry also took a swipe at GOP leader McCarthy and his allies, who have suggested the Californian is responsible for heralding in the new Republican majority.

"I think the person that has done the most to make this fabulous, this wonderful Republican majority, is Speaker [Nancy] Pelosi and her policies. That's what has achieved this majority here," he said.

Donalds is so far earning 20 votes from Republicans in each round. He initially voted for McCarthy in the early rounds but switched his vote, saying McCarthy couldn't win.

Remarks from Republican Rep. Kat Cammack suggesting Democrats brought alcohol into the chamber caused an outcry from the party shortly before the sixth round of speaker voting began.

"Diversity of thought is a good thing. But they want us divided. They want us to fight each other. That much has been made clear by the popcorn and blankets and alcohol that has come in over there," she said as she was nominating McCarthy.

Some Democrats shouted back "take down her words!" -- referring to a request to have her comment formally challenged and then stricken -- and "make her apologize!"

Many members were also heard vocally reacting, including yelling objections.

Clerk Cheryl Johnson then asked "all members-elect to abide by the established decorum of the House" while nominating candidates for speaker.

The House is moving full steam ahead with a sixth round of voting on Wednesday.

"Well, it's Groundhog Day, again," Rep. Kat Cammack, R-Fla., said as she began her nomination speech for McCarthy.

"To all Americans watching right now, I want to tell you we hear you, we hear you," Cammack said. "And we will get this right. No matter how messy this process is, we will emerge better for having been through this because nothing great ever comes easy.".

Democratic leader Hakeem Jeffries of New York was again nominated by his party, with California Rep. Pete Aguilar again giving the speech.