Brexit divides Labour just as it does May's Conservatives and much of the country, but Corbyn has tried to paper over his party's splits by keeping open the option of holding a second referendum on staying in the EU.
Nothing is being ruled out, including the option of remain. This was a clear contradiction of John McDonnell, the Shadow Chancellor, who appeared to suggest earlier in the week that any referendum choice should be between any agreement that Mrs May strikes with the European Union or no deal.
Despite previously ruling out a second Brexit vote, Jeremy Corbyn confirmed earlier this week that he would honour the result of the vote. Longstanding EU opponents like veteran MP Dennis Skinner were unimpressed.
"They will oppose any deal I bring back, regardless of how good it is for the U.K., and they will accept any deal Europe gives, regardless of how bad it is for the U.K.", May said.
The Labour leader made the comments during his main speech at his party conference in Liverpool on Tuesday.More news: Ramirez's Lawyer Said She Is Willing To Testify, Possibly Without FBI Probe
Both sides appear to have dug in their heels after a meeting in Salzburg last week between May and the other 27 leaders turned sour, with the European Union rejecting her compromise plan that would see continued free trade in goods after Brexit.
"We need to be the party that cuts the cost of living and stop with stupid gimmicks about putting taxes on milkshakes and think that is what social justice is all about - it isn't".
The Labour leader Jeremy Corbyn believes a general election would be the best way to resolve the political crisis enveloping the Brexit negotiations, after European Union leaders rejected the prime minister's Chequers plan in Salzburg last week.
In November previous year he refused to take part in a series of events held by British Prime Minister Theresa May to commemorate the centenary of the 1917 Balfour Declaration, a short 67-word letter named after then British Foreign Minister Arthur James Balfour.
Corbyn said in his keynote speech that "the old way of running things isn't working anymore", and argued that his socialist ideas represent "the new political mainstream".
Her delegation plans to vote in favour of a conference motion on Tuesday supporting "all options remaining on the table", including the possibility of a second referendum on Brexit.More news: U.S. SEC sues Tesla CEO Elon Musk, alleges fraud over tweets
Brexit minister Robin Walker accused Labour of trying to take the United Kingdom "back to square one" and of wanting to re-run the referendum, saying: "Labour promised to respect the referendum result, but are just playing political games and trying to frustrate it".
But Brexit has loomed large over the four-day party event, causing ructions that the leader will be keen to avoid on Wednesday.
"Today's Conservative government continues to collude with the disastrous Saudi-led war in Yemen, turning a blind eye to evidence of war crimes and the devastating suffering of millions of civilians", he said.
But he assured businesses Labour would also deliver "what you need to succeed and to expand and modernise our economy - more investment in our transport, housing and digital infrastructure, more investment in education and skills, so workers are more productive".
Corbyn, who along with shadow chancellor John McDonnell has been pushing Labour to embrace a more radical socialist program, said a Labour government would "change the way our economic system is run".More news: Murray reaches 2nd round of Shenzhen Open as Zhang retires