EU chief Brexit negotiator Michel Barnier is in Dublin for talks with Taoiseach (Irish PM) Leo Varadkar.
A spokesman for Mr Varadkar said the aim of the meeting was to “take stock of developments in London”.
The spokesman said the ongoing planning for a possible no-deal scenario would also be discussed.
The UK is currently due to leave the EU on 12 April and, as yet, no withdrawal deal has been approved. Theresa May has requested a further extension.
The prime minister has been negotiating with Labour to try and reach a deal in Parliament.
She is due to meet German Chancellor Angela Merkel and French President Emmanuel Macron on Tuesday.
During his Dublin visit, Mr Barnier will also meet Irish Foreign Affairs Minister Simon Coveney and Finance Minister Paschal