May's plan of action is to hold a third vote on her agreement with Brussels by Wednesday. A dozen government ministers abstained rather than support May's bid to preserve the no-deal option, while another voted against, and resigned.
The short delay envisaged in the motion could last until June 30, but the longer extension is not now time-limited.
"We are now looking to the government to deliver a clear, legally certain, path forward to avoid no deal and to reach an agreement with the EU that delivers the conditions that support the continued competitiveness of our European operations", a spokesman for the Japanese auto manufacturer Honda said.
Despite the rebuffs and the political chaos, May has signaled she will try a third time to get backing for her agreement next week. He said Ireland would only consider it if it was to "implement a clear plan and strategy to reflect on and perhaps change direction in regard to Brexit". That left Britain facing a disruptive "no-deal" exit on March 29, when a two-year countdown to departure runs out.
Some lawmakers have been pressing for a series of votes in Parliament on different Brexit options - including a closer relationship with the bloc than the government wants - to see if any can command a majority.
Sterling held near the day's lows on Tuesday after a volatile trading session as Britain's parliament rejected Prime Minister Theresa May's deal to quit the European Union for a second time. "If the Government passes its deal then it is reasonable to bring it back to the people to make sure they are happy with what is on offer".
To succeed, she must win over dozens of Brexit-supporting rebels in her own Conservative Party and importantly the Northern Irish Democratic Unionist Party (DUP), which has 10 members in parliament.
The European Commission recalled Thursday evening that "any request for extension of (the period of negotiations provided for by) Article 50 requires the unanimous agreement of the 27 other member countries" and should be duly justified.
Despite frustration with London, EU leaders have indicated they would accept a "technical extension" of a few weeks if a deal is in the bag. But as things stand, the PM has the option of calling yet more votes, or trying to push the European Union again for more concessions over the deal.
"We have to know, what is the intention of the British parliament?"
To extend Article 50, the Brussels has to say yes.
The President of the European Council's intervention on Twitter this morning will bolster claims that the United Kingdom would not leave the EU until 2021 unless Mrs May (pictured outside Downing Street last night) can persuade the DUP and Brexiteers to back her divorce deal. That was no surprise: many worry that leaving the European Union without a deal will plunge Britain into chaos, with goods held in limbo and the possibility of food and medicine shortages.
"I don't think another vote would be possible because it would be very unfair to people who have won", Trump said at the White House.
Cabinet Office Minister David Lidington said the likelihood of a no-deal Brexit had "diminished" with Thursday's votes.
Lawmakers approved by almost 200 votes a motion setting out the option to have a short delay by agreeing to a Brexit deal by March 20, or a longer delay if no deal can be agreed in time.