Barnier, who was also in Finland, said it was impossible to say when divorce negotiations would come to a close, saying there could be no deal without a "solid fix" for the Irish border.
Speaking at a conference while on a visit to Helsinki, Finland, the Taoiseach said: "I do think that, with every day that passes, the possibility of having a special summit in November becomes less likely".
"But we do have one scheduled anyway for the 13th and 14th of December, so not getting it done in November doesn't mean we can't get it done in the first two weeks of December", he added. I will not give you a date.
European leaders are awaiting Barnier's assessment as to whether sufficient progress has been made in the Brexit negotiations for an EU summit to be convened to announce a deal. Negotiators from both sides are, however, still at odds over ways to guarantee an open Irish border no matter how Brexit goes. "There are still important issues outstanding.so we have more work to do".More news: Liberal turnout could decide Texas Senate race
Michael Gove, the Environment Secretary, has led calls in Government for full legal advice on plans for a customs backstop to be shared with ministers so they can make an informed decision about the Prime Minister's Brexit deal. Britain has complained this would create a border in the Irish Sea between Northern Ireland and the rest of the United Kingdom.
"Without a backstop there will be no deal".
Last month, Germany's BDI industry association said a so-called hard Brexit would spell enormous trouble for tens of thousands of companies and hundreds of thousands of workers throughout Europe. "It's as simple as that", explained Michel Barnier after a meeting on Tuesday evening with the Prime minister of slovakia Peter Pellegrini in Bratislava.
Varadkar spoke to British Prime Minister Theresa May on Monday, agreeing that any backstop should be temporary. May also told him that there would need to be a mechanism to end it.More news: Bizarre: Virat Kohli asks fan to leave India over minor reason
European Union officials on Wednesday (7 November) poured cold water on hopes of holding a special summit this month to seal a Brexit divorce, saying talks have made some progress - but not enough. I can not give you a date.
Most German firms that export to Britain are poorly prepared for a no-deal Brexit, a survey by the IW economic institute showed on Tuesday, highlighting the risk that a disorderly British exit from the European Union could hurt Europe's largest economy.
Later, addressing leaders of the European People's Party group, Barnier warned of the threat that rising nationalism and populism pose to the EU ahead of European Parliament elections in May.More news: Democrats to take control of the US House