The PM stated the UK would need "an alternative way forward" after her plan failed.
On April 1, the MPs from all parties will test support for other options of solving the issues during a second round of "indicative votes.
Earlier, the House of Commons of the British Parliament ruled to delay the procedure of Brexit until late June.
412 MPs upheld the decision; 202 voted against
On March 20, British Prime Minister Theresa May wrote a letter to President of the European Council, Donald Tusk, asking Brexit to be delayed until June 30, 2019.
On March 14, the House of Commons of the UK Parliament did not approve a repeated referendum on the issue of the country's withdrawal from the EU.
The exit of the UK from the EU was scheduled for March 29, 2019. It was determined by a referendum in June 2016, in which 51.89% of Britons supported the country's withdrawal from the EU in order to regain control over its own funds, laws, borders and the internal market.