Earlier, the prime minister won a vote of no confidence by 325 to 306, as rebel Tory MPs and the DUP backed her to stay in No 10.
Britain is legally on track to leave the European Union with or without a deal on March 29, unless it delays or stops the process.
But with lawmakers (MPs) deadlocked on the way forward, the United Kingdom could face a disorderly "no-deal" Brexit, a delay to Brexit, or even another referendum on membership.
The prime minister has invited party leaders and other MPs to discuss what needs to be done to reach Parliamentary consensus on any future deal and said the meetings she had held so far had been "constructive". "This is now the time to put self-interest aside".
May can not command a majority in the Commons without Northern Ireland's Democratic Unionist Party (DUP), but, ever since she pushed ahead with a widely unpopular and problematic Brexit deal agreed with Brussels in November, she also can not count on the automatic support of her own lawmakers who, outside of confidence votes in their own government, are still in rebellious mood.
But with no clear majority in Parliament for any single alternative, there's a growing chance that Britain may seek to postpone its departure date while politicians work on a new plan - or even hand the decision back to voters in a new referendum on Britain's European Union membership.
Mr Corbyn has said that before any "positive discussions" can take place, the prime minister should rule out a no-deal Brexit.More news: China’s death sentence for Canadian was ‘politically motivated,’ U.S. says
"The House has put its confidence in this government", she said in the House of Commons.
"The reason that I am trying to do that is because there are an overwhelming majority in parliament against a no deal".
However, he and other senior political figures fear that stopping Brexit could alienate the 17.4 million people who voted to leave. With just over two months to go until the scheduled departure, Britain is still undecide on what to do.
Companies warned of catastrophic job losses and chaos at ports if there was no deal.
European Union supporters have been calling for another vote ever since the Leave campaign won by 52 to 48 percent in the 2016 referendum, and demands have stepped up in recent months.
May, 62, has spent two years negotiating the divorce plan aimed at bringing about an orderly Brexit and setting up a 21- month transition period to negotiate a free-trade deal with Brussels.
A no-deal scenario threatens to trigger a recession in Britain and markedly slow the EU's economic growth, as well as causing significant legal disruption.
German Foreign Minister Heiko Maas said that "the time for playing games is now over". He said Britain needed to get realistic about what was possible.
Opponents of Brexit say it is folly that will weaken the West, make Britain poorer and torpedo what remains of its post-imperial clout.