Prime Minister Theresa May will continue to lead the British government having secured survived a no confidence motion tabled by the Labour party.
May secured a majority in the ballot held on Wednesday evening, with 325 MPs voting in her favour to 306 against.
Victory means May remains in charge of organising the UK's exit from the EU on 29 March, even though the same house rejected the withdrawal agreement she painstakingly negotiated with Brussels over the past 18 months.
She now has until Monday to come back before MPs with alternative suggestions to avoid a no-deal Brexit, which would see standard international borders erected between the UK, Ireland and the rest of the EU. May has offered talks with other British parties to break the deadlock.
"I would like to start these meetings tonight," she said after the vote.
The Irish Government has placed the ball in the British court, with ministers saying it is up to the UK to make new proposals.
"We have always said that if the United Kingdom were to evolve from its red lines on the customs union and the single market, that the European position could also evolve," said An Taosieach Leo Varadkar.
"We have also always said that the risk of an unplanned, disorderly Brexit at the end of March can be avoided, including if necessary by an extension of the Article 50 deadline. This would be subject to a request from the UK being made, and agreed by all member states."
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