What have other parties said?published at 08:15 Greenwich Mean Time 17 January 2019
Ahead of proposed meetings with the PM and her ministers today, what positions are other parties taking?
Labour - Jeremy Corbyn has said that before any "positive discussions" can take place, the prime minister should rule out a no-deal Brexit.
SNP - Ian Blackford, the SNP's Westminster leader, said that the extension of Article 50, the ruling out of a no-deal Brexit, and the option of a new EU referendum would have to form the basis of future discussions.
Plaid Cymru - Westminster leader Liz Saville Roberts has called for a no-deal Brexit to be ruled out and "a People's Vote on our European future" to be organised.
Lib Dems - Sir Vince Cable said he was encouraged by Mrs May's "willingness to talk about these issues in detail". The party's preferred choice is another referendum.
Green - Caroline Lucas said Mrs May must "urgently rule out the threat of a no-deal Brexit", and should organise another referendum.