The parliament of the United Kingdom is to debate and vote on Prime Minister Theresa May's "Plan B" for Brexit on January 29, the leader of the lower chamber said on Thursday.

Andrea Leadsom, the leader of the House of Commons, told lawmakers that the prime minister would put forward a motion and make a statement to the chamber on what her next steps would be on Jan. 21.

"A full day's debate on the motion will take place on Tuesday 29 January, subject to the agreement of the house," she told parliament.

Leadsom spoke as May met with lawmakers and opposition leaders for cross-party consultations before she presented an alternative to the proposal that was soundly defeated in parliament on Tuesday.

May is currently trying to resolve a political deadlock set up by her antagonists, both from the hard-Brexit and anti-Leave camps.

One of the demands is that May should rule out any possibility that the UK might crash out of the European Union in March without any deal in place.

"Last night's offer of talks with party leaders turned out to be simply a stunt, not the serious attempt to engage with the new reality that is needed," Labour Party leader Jeremy Corbyn said.

"I say to the prime minister again – I am quite happy to talk but the starting point for any talks about Brexit must be that the threat of a disastrous no-deal outcome is ruled out, taken off the table, and we can talk about the future of the plans that we will put forward and the future relationship with Europe," Corbyn added.

May has had to acknowledge that the deal she agreed with the EU had been delivered a near-mortal blow off after Members of Parliament delivered the heaviest defeat a UK government has ever suffered in parliament: 432 votes against to 202 in favor.

"MPs have made clear what they don't want, we must all work constructively together to set out what parliament does want," May said late Wednesday after surviving a vote of no-confidence triggered by Corbyn's Labour party.

May has scheduled meetings with Scottish nationalists, Welsh nationalists and pro-EU Liberal Democrats.

She also met Arlene Foster of Northern Ireland's DUP and her deputy Nigel Dodds, in a meeting given extra importance as May relies on that party's 10 lawmakers to stay in power.