"She will have to make decision of whether that is the point at which she drops her red lines and her blinkers and opens up the debate to other options", Starmer told parliament.
Barely two weeks before Britain is due to leave the European Union on March 29, Britain has yet to agree a plan on how to leave and parliament was voting Thursday on whether to ask Brussels for a delay to the departure date.
The amendment, pushed by The Independent Group's Sarah Wollaston, was overwhelmingly defeated by 334 votes to 85 as the bulk of the Labour Party stayed away from the voting lobbies.
"The PM said the choice was between her deal and no deal".
Ms Fovargue has repeatedly stated her opposition to a so-called People's Vote as a way of settling the issue of Brexit and represents a Leave-voting heartland.
What isn't clear is how the prime minister actually intends to dig herself out of this awful political hole. "Parliament must now take control of the situation".
Labour MP Wes Streeting, who supports a second referendum but voted against the amendment, said that today was not "the right time" to back another vote.
"I will appeal to the EU27 to be open to a long extension if the United Kingdom finds it necessary to rethink its Brexit strategy and build consensus around it", European Council President Donald Tusk said, referring to EU leaders who will meet May next Thursday and must agree to any extension.
"It's up to us as the House of Commons to look for and find a solution to their concerns".
In her letter to Jeremy Corbyn she wrote: "The people of Barnsley elected me to honour that promise and that is what I did tonight".
Mrs May said a customs union was part of proposals put forward by Labour but argued these had "already been rejected" by MPs.
Conservative MP John Baron then pushed Mrs May to back a no-deal Brexit, arguing "no deal is better than a bad deal".
A spokesperson for the People's Vote campaign said: "The People's Vote campaign does not instruct its supporters in Parliament on how to vote".
"We take note of the votes in the House of Commons this evening", the spokesman said. The EU is prepared for both.
You can view the full data tables here.
European Commission President Jean-Claude Juncker announced in the early hours of Tuesday that the prime minister had secured "legally binding" changes to the deal and, in particular, to the controversial Irish backstop provision, which would be complemented with "meaningful clarifications" and "legal guarantees".