CNN  — 

House Democratic Leader Nancy Pelosi met Friday with prominent Democratic critics including Rep. Marcia Fudge, an Ohio lawmaker who is considering whether to run for House speaker and challenge Pelosi, who is seeking a return to the role leading the party when it retakes the majority in the new Congress.

With Democrats’ recapturing of the House majority in the midterms, Pelosi has consistently positioned herself to be the next House speaker, a position she held from 2007 to 2011. While Pelosi has been a fundraising juggernaut with allies throughout the caucus, many Democrats ran this fall on a message of refusing to support Pelosi’s leadership.

Fudge was among 17 signees to a letter written by a mixture of incumbent and would-be Democratic members who pledged not to vote for Pelosi in January.

Pelosi is meeting with at least two other signers of that letter Friday, Reps.-elect Max Rose of New York and Jeff Van Drew of New Jersey, as well as at least three other incoming lawmakers Haley Stevens of Michigan, Mikie Sherrill of New Jersey and Abigail Spanberger of Virginia.

Meeting with Fudge

Through a spokesman, Pelosi described the meeting with Fudge as “a candid and respectful conversation.” Pelosi’s office said the meeting was set up by Rep. Elijah Cummings, who is expected to become chairman of the influential House Oversight Committee in the next Congress.

Following the meeting, Fudge told reporters that Pelosi did not ask her specifically ask her not to run. Pelosi did ask what Fudge would need in order to support her bid, though. Fudge said she wanted to know about succession planning and being a more inclusive caucus.

“I’d like to know what her plans are. She did not share them with me. But it is something that our caucus is interested in knowing,” Fudge said. “I think the biggest issue we discussed was the feeling within the caucus who are feeling left out and left behind.”

She said she intends to keep in touch with Pelosi in the coming days, specifically “exchanging information” over her desire for a succession plan over the next week on that.

Fudge said if Pelosi pledged to serve only one more term as speaker that would satisfy her concerns.

“Absolutely. No question about it,” Fudge said.

Fudge speculated that neither she nor Pelosi currently has enough support to win the speakership.

Fudge has said she had has had an outpouring support from colleagues encouraging her to run. Fudge, who was once the chairwoman of the Congressional Black Caucus, has received support for the group’s current chairman, Rep. Cedric Richmond of Louisiana. Richmond told CNN Friday he would support Fudge over Pelosi because he’s “closer” to Fudge.

“Marcia is my friend, we eat dinner together, my family knows her, and her family knows me,” Richmond said. “So, there’s nothing that Marcia could run for that I wouldn’t support her because she’s qualified and I’m not anti-Pelosi, not at all. I consider the speaker to be a very talented speaker, a remarkable speaker, I consider her to be a friend but I’m closer to Marcia, so if Marcia ran that’s where I would be.”

Other Pelosi critics

Besides Fudge, Pelosi met with at least five other newly elected Democrats who have either criticized her or called for new leadership.

Van Drew, who has already announced he is a “no” on returning Pelosi to the speaker’s job, described his meeting with Pelosi as “a very pleasant conversation.” He said they discussed his district and what committees he wanted to be assigned to. He said he does not feel pressure about his opposition to her as speaker. Asked if Pelosi promised him a better committee assignment if he supported her for speaker, he said she did not.

Rose said Pelosi did not give him a pitch but quipped that she offered him a Coke and he accepted.

“Just an honest opportunity for me to introduce myself and talk more,” he said. “No pitch. No transactional politics.”

He said they talked “only a little bit” about the leadership race and that he made himself clear that he sticks to his promises. “She understands that and it was a great opportunity to talk to her.”

Pelosi has consistently made the case that she’s the strongest candidate for speaker and said earlier this week she’s confident her Democratic colleagues will elect her in the role. When asked about other Democrats seeking the speakership role earlier this week at a news conference, Pelosi responded “Come on in, the water’s warm.”

Stevens, a Pelosi critic during the campaign, said she spoke about a range of issues important to her Michigan district. She kept the door open to supporting Pelosi.

“I haven’t said no,” Stevens said.

Following her meeting with Pelosi’s office, Spanberger said she had a “wonderful” discussion with Pelosi about the needs of her district but added she would vote against her on the floor of the House, bringing the total number of Democrats who’ve done so publicly and recently to 18. She said she would not sign the anti-Pelosi letter, however.

“I’ve been very clear about my position and that remains the same,” she said. “I will be voting but I will not be voting for her.”

Separately, a “Dear Colleague” letter passed around by members of the House Democratic caucus dissatisfied with Pelosi says “we believe more strongly than ever that the time has come for new leadership in our Caucus,” according to a copy obtained by CNN.

Progressive support for Pelosi

Another letter that’s being circulated on Capitol Hill reveals multiple incoming freshmen – who were largely noncommittal on the House speaker race during their campaigns — will in fact support Pelosi.

The letter, obtained by CNN, is still being circulated and so far includes 61 signatures from women incumbents and members-elect. It comes as Pelosi is shoring up support from the progressive base this week with endorsements from large and powerful groups, as well as prominent progressives in Congress — a move that will put pressure on wayward Democrats to back her bid.

Notably absent from the list are progressive incoming freshmen like Alexandria Ocasio-Cortez and Jahana Hayes of Connecticut. Ocasio-Cortez told Vice News this week she was open to supporting Pelosi.

This story has been updated to include additional comments from lawmakers.

CNN’s Clare Foran, Ashley Killough, Alex Rogers, Elizabeth Landers and Manu Raju contributed to this report.