Irish premier says a Brexit deal by the October 31 deadline is "possible" in breakthrough moment.
Crunch talks with taoiseach come as animosity between EU and UK grows.
UK proposals "do not match even remotely" Northern Irish backstop plan, says steering group.
Jeremy Corbyn says plan is worse than Theresa May's and warns Labour MPs not to back it.
Prime minister outlines his offer in a letter to European Commission President Jean-Claude Juncker.
The European Commission president said his meeting with Boris Johnson on Monday was "rather positive".
The prime minister is expected to fail on Monday in a second attempt to get a general election.
Philip Hammond urges PM to publish detailed proposals for replacing the backstop before Tuesday's Commons showdown.
PM outlines hardline stance in phone call with Jean-Claude Juncker.
PM gearing up for ‘Spartans’ reaction after telling EU leaders he will accept withdrawal agreement if Irish backstop resolved.