The taoiseach says a deal may be reached, but the PM's current proposals will not break the Brexit deadlock.
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The PM updates MPs on his Brexit proposals but Jeremy Corbyn says the plans are "unrealistic".
The PM's plan would see Northern Ireland stay in the single market for goods but leave the customs union.
The EU is "fed up" with endless delays and wants to resolve Brexit by 31 October, the prime minister says.
The Times says the party has agreed to drop its objections to regulatory checks in the Irish Sea.
The UK has not yet put forward any workable alternatives to the Brexit border backstop, says the EU.
No 10 is calling on Labour to go to the polls, but opposition MPs want to rule out no-deal Brexit first.
The Irish PM stands firm on the withdrawal agreement as Boris Johnson says he will visit Dublin next week.
The plan to avoid a hard border in Northern Ireland is "unviable", the PM says in a letter to the EU.
The Irish backstop is a sort of insurance policy to keep the Irish border open post-Brexit.