Former Conservative chairman Grant Shapps said there are around 30 MPs, including five former cabinet ministers, who are now willing to publicly call for the prime minister to stand down.
As she restarted her speech after the P45 incident, the Prime Minister said: "I was about to talk about someone I would like to give a P45 to and that's Jeremy Corbyn".
The Kent MP and energy minister Greg Clark says the Prime Minister showed grace under pressure during her conference speech - that was marred by a protester and a persistent cough.
"If ever the PM needed a metaphor for service and duty and resolution through adversity, that battling performance was it!"
In a round of broadcast interviews, Shapps said the experience from Gordon Brown and John Major's premierships, was that leaders in May's position rarely recovered.
May's speech started with an apology over the snap general election she called in June.
Nadine Dorries, an ally of Foreign Secretary Boris Johnson, who has been the subject of speculation about a potential leadership bid amid his perceived disloyalty over Brexit in recent weeks, claimed Mr Shapps was part of a group of Remain-backing MPs seeking to reverse the decision to quit the EU.
Under the headline: "Theresa May will stay as Prime Minister and get the job done", Interior Minister Amber Rudd wrote in The Telegraph newspaper that "she should stay".
Damien Green appeared on BBC's Question Time and tried his best to defend a disastrous Conservative Party Conference so bereft of ideas that the Tory message literally falling apart on the wall behind Theresa May as she spoke made the front pages.
May placed the paper on the floor before resuming her speech.
"Then yesterday, journalists contacted me and told me the whips are saying 'you've got the list'. I led the campaign and I am sorry", she said.
Charles Walker, vice chairman of the powerful Conservative backbench 1922 Committee, said the attempt to force a leadership contest lacked credibility and was doomed to fail.
But May earned praise for pushing through the hour long address, earning a standing ovation from members for her vision for a renewed Conservative Party.
Asked to characterise her mood as she came off stage, the source said: "Good".
But at the same time there are party?colleagues who have jumped to May's support and accused Shapps of stirring up trouble when an "overwhelming majority" want her to carry on as premier.
In Manchester, cabinet ministers have been lining up to condemn the Labour leader, with Johnson accusing him of "economic masochism" and joking he would like to send him into space.
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Militants attack Indian forces in Jammu-Kashmir
Two children were killed Monday during an exchange of gunfire between Indian and Pakistani troops, Indian authorities said. The camp is located just outside the global airport in Srinagar - a heavily fortified area.