One senior backbencher told the BBC that she had appeared "contrite and genuine but not on her knees".
The Prime Minister would serve the people of Britain - and Northern Ireland in particular - far better now by listening to them and acting on the messages they have sent her through the election result and all that has followed since.
Conservative MPs who left the meeting, described her performance as "heartfelt", "powerful" and "contrite".
DUP leader Arlene Foster is due to meet May on Wednesday in order to thrash out the details of that deal, which will likely entail a series of concessions in exchange for DUP support in the Commons.
A hush descended as the assorted journalists, police officers and bow-tied parliamentary doorkeepers caught sight of the prime minister.
paRemaining: the Prime Minister, Theresa May, makes a statement outside 10 Downing Street after she returned from Buckingham Palace on FridayAs for the possible concessions that the DUP might demand of Mrs May in return for propping up her minority Government in Westminster, political pundits in Ireland are less concerned about sexuality and ethics than the LGBT lobby in Britain. If she was, she did a decent job of not showing it.
The botched election campaign opened a new front in the Tories' decades-long internal conflict over Britain's membership of the European Union.
"She was contrite", said another MP.
"We are going into these talks with the national interest at heart". But the DUP's support will ensure that at least May and her government have a fighting chance.
"What we have not seen over recent days is any concrete or firm shift in the expectations that we've got regarding timescale", he said.
Puerto Rico Overwhelmingly Say Yes To Statehood But Will Congress Approve?
Still, many Puerto Ricans see statehood as about a lot more than the economy. The unemployment rate is 11.5% (compared to just 4.3% for the USA overall).
She warned that a effect of failing to re-establish a powersharing executive would be the return of direct rule, with decisions on devolved issues being taken by the London government.
"When the facts change, I'll change my mind", said Keith Skeoch, chief executive of Scottish insurer and asset manager Standard Life, borrowing a quote from economist John Maynard Keynes. "She acknowledged and agreed that there needed to be a broader consensus, listening to all wings of the party on Brexit".
Ministers confirmed Monday that could be delayed while talks with the DUP continue. A similarly hard-line position on the rights of women to seek an abortion has also unsettled moderates on the centre-right of the Conservative scene, some of whom have also urged their party to adopt a more liberal position in the wake of disastrous losses to Labour in London.
Those backbenchers wield enormous power in the party, and although they say they are sticking by May, there's talk of revolt.
A number of key manifesto pledges are expected to be watered down.
Large global banks in London plan to move about 9,000 jobs in the next two years to financial centres that will stay in the European Union, including Frankfurt, Paris and Dublin, so they can continue selling their services across the bloc after Brexit, according to a Reuters' tally of job warnings.
First, several figures in the Conservative Party, such as the party's leader in Scotland, Ruth Davidson, have already voiced their anxiety about the strengthened association with the DUP.
She now faces a vital meeting at 5 p.m. (12 p.m. ET) with backbench members of Parliament from her party - the so-called 1922 Committee - calling for their loyalty amid swirling speculation that her leadership is in jeopardy.
"Nobody is going to want the government to fall".
"It may not be on the Monday because we also have got the Queen's Speech that week and I will have to speak in that, and so on". And it should keep the party together. The meeting was being held Monday afternoon instead of Tuesday. "I never want to hear those four little words: Corbyn is prime minster".
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