Asked about his comments, May's spokesman said: "The PM made it clear that there was a need to bring the country back together after the Brexit vote and that is what they (the government) are working to achieve".
"Today we have got to start to bring that to an end", he said.
May has less than two weeks to bridge the hostile divide that separates those who want to sever links with the European Union and those who want to keep the ties that have bound Britain to the bloc for nearly 50 years. Notably, there was almost a majority for remaining in the customs union (264-272)-under which Britain retains a common tariff with the EU and gains the right to stop free movement of EU nationals, but has limited scope for negotiating free trade agreements.
Labour Party: Given the lack of support within the governing parties, May needed opposition backing for her deal.
With such high stakes in place, there are now deep concerns among Brexiteer lawmakers that their prize of leaving the European Union might be slipping away from them.
British lawmakers plan another round of votes Monday to see whether they can come to an agreement on a way for Britain to leave the bloc.
Parliament seized the initiative for one day last week but failed to unite around a single option that could replace May's deal.
May has ruled out all the ideas under consideration.
But any attempt to force May to accept a closer relationship with the European Union risks splitting the government, and there is widespread speculation she might try one last time to get her deal passed this week.
Defense Minister Tobias Ellwood urged fellow Conservative lawmakers to compromise to ensure an orderly Brexit.
The motion for a confirmatory public vote, drawn up by Labour MPs Peter Kyle and Phil Wilson and tabled by Labour former minister Dame Margaret Beckett, polled the highest number of votes first time round - although it was defeated by 295 votes to 268.More news: Kentucky holds on late to defeat Houston in Sweet 16 thriller
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Brussels has set an April 12 deadline to agree the divorce terms May has struck with the bloc, find an alternative or crash out of the European Union.
After a tumultuous week in which May's divorce strategy was rejected by lawmakers for a third time, despite her offer to quit if it passed, the future direction of Brexit remains mired in confusion. The government could also pit May's deal against the favored indicative choice. May's hope is that pro-Brexit opponents would back the deal if the only alternative was an even softer Brexit.
Slack rejected speculation that the government could take drastic action, such as asking Queen Elizabeth II to suspend Parliament or getting her to refuse to sign legislation.
Prime Minister Theresa May is not obliged to heed today's parliamentary votes. But a big shift by the Labour Party and other political maneuvering may change the math on Monday evening.
EasyJet said that following discussions with state-controlled railway Ferrovie dello Stato Italiane and Delta Air Lines about forming a consortium to "explore options" for Alitalia, it has now withdrawn from the process.
Some ministers including Justice Secretary David Gauke had hinted at a pivot towards a customs union if there was enough support in Parliament.
He said: "I'm convinced at that after spending a lot of time meeting with and talking to officials in Europe".
The Brexit impasse has alarmed businesses, who say the uncertainty has deterred investment and undermined economic growth.
European Union leaders will hold a special summit on April 10 to consider any request from Britain for a longer delay to Brexit - or to make last-minute preparations for Britain's departure without a deal two days later.