"I am passionate about delivering the result of the referendum, but I equally passionately believe that the best way to do that is to leave in an orderly way with a deal and I still believe there is a majority in the House for that course of action", May said.
But despite Corbyn's call for fresh poll, the party is understood to not have immediate plans to call for a vote of no confidence that could precipitate what would be the third general election in four years.
The potential move, which could lead to another general election in a bid to break the impasse at Westminster, comes as the prime minister all but lost control of the Brexit process following Tuesday night's defeat.
Labour is set to help block a no deal Brexit tonight in another crunch vote in the House of Commons.
A British lawmaker who had proposed a vote to rule out a no-deal Brexit in any scenario is no longer backing the amendment, the BBC reported on Wednesday.
Jeremy Corbyn will whip his MPs to vote against a plan that would see the United Kingdom crash out of Europe without agreements for future co-operation with Brussels.
He repeated that call last night: "We are now only two-and-a-half weeks away from crashing out of the European Union without a deal, which would have extremely serious economic, social and political ramifications - hitting the most vulnerable hardest with possible food price rises and medicine shortages".
It has been another shattering defeat for the Government.
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On his Facebook page, Mr Western has said: "This week, there are three key Brexit votes".
Numerous EU leaders expressed their dismay after MPs voted by 391 to 242 votes to reject Mrs May's deal.
Downing Street said it had no intention of holding an election.
"Allowing a free vote on no deal shows Theresa May has given up any pretence of leading the country".
However in a seemingly confusing loophole in no deal plan, Northern Ireland's border would remain open at least "temporarily" and goods entering from the Republic would not face tariffs to preserve the Good Friday agreement.
A delay to the March 29 departure date is now nearly certain.
After the vote, Labour leader Jeremy Corbyn accused May of running down the clock on Brexit and said he will try to get MPs to back a Labour plan.
"The Prime Minister's negotiations have failed".