On Monday, the speaker of the House of Commons, John Bercow, warned that Mrs May had to bring back a substantially altered Brexit deal to Parliament, otherwise it would not go before MPs a third time.
In an unexpected announcement on Monday, Speaker John Bercow said Ms.
Michel Barnier has warned Theresa May that the European Union wants to know what the "purpose" of delaying Brexit is, before it agrees to an extension of Article 50.
"One must have a sense of humour when dealing with Brexit at the moment".
The Prime Minister's official spokesman told journalists that Mrs May had warned MPs ahead of the second vote on her deal that the United Kingdom would be plunged into crisis if they failed to back it, adding: "That has come to pass".
Prime Minister Theresa May could also introduce some changes to the non-binding Political Declaration on the future relationship between United Kingdom and the EU.
Another cabinet source said they were frustrated that the prime minister had not been clear about which delay option she would be arguing for.
Mrs May and her party have several red lines for the future deal: chief among them are that there should be no free movement of people, and Britain should not be bound to the EU's trade policies.
In order to avoid a further stalling of the withdrawal agreement, the British government may now have to come back with essentially the same deal but tweaked with additional side agreements with the EU.
He accepted that there would now have to be a "short extension" to the Article 50 withdrawal process as the Government would not be able to get through all the legislation it needed in time for March 29 when the United Kingdom is due to leave.More news: Liverpool rescue win over Fulham as Mohamed Salah stutters once again
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The Prime Minister's official spokesman confirmed ministers would want to be confident they had a "realistic prospect" of success before deciding to call a third vote.
"They agreed that we must now see what proposals emerge from London in advance of the European Council meeting in Brussels on Thursday".
He added that any substantial changes to the deal seem unlikely ahead of the European Council meeting this week.
"Why would be there be an extension without a reason?" she said.
He warned that last week's House of Commons vote rejecting a "no-deal" Brexit will not prevent it from happening and said the only way to end this "period of uncertainty" is for the United Kingdom to make concrete decisions.
Unconfirmed reports suggest that Mrs May could ask for a lengthy extension to Article 50, with the option of an early break in May or June if she manages to get her Withdrawal Agreement through Parliament.
"I will fight to the last hour of the deadline on 29 March for an orderly exit", she told a press conference in Berlin.
Speaking in Berlin, she said: "I'll concede that I wasn't actively aware of the British Parliament's rules of procedure from the 17th century, so I took note of this with interest yesterday".
May had earlier warned lawmakers that unless they approved her Brexit pact, Britain's exit from the European Union could face a long delay. In 2016, the United Kingdom voted to leave the European Union.