The continued uncertainty would also be bad for our businesses and citizens.
The government tabled an order enabling the elections to be held in Britain if the country has not left the European Union by the time they are due to take place on May 23.
May's Conservative government and the main opposition Labour Party have been trying to find a compromise Brexit deal before European Union leaders decide Wednesday whether to grant a second extension to the U.K.'s departure.
European Council president Donald Tusk has recommended a one-year extension to the Brexit process, with a break clause allowing an earlier departure if a withdrawal deal is ratified in Westminster.
The latest round of talks will include Mrs May's de facto deputy, Cabinet Office minister David Lidington, and Chancellor Philip Hammond from the Government side, with shadow Brexit secretary Sir Keir Starmer and shadow chancellor John McDonnell from Labour.
Barnier said he had no information about such a plan, and a German government spokesman said the report was "without any foundation".
"Finally, if we failed to agree on any next extension, there would be a risk of an accidental no-deal Brexit".
On the eve of an European Union summit of national leaders due to decide whether to grant Britain another Brexit delay, Barnier stressed that the length of any second postponement beyond the current date of April 12 would depend on the rationale presented by Prime Minister Theresa May.
The Prime Minister will be at the emergency summit on Wednesday, when all member states will vote on whether to allow an extension.
Mrs May has enraged Conservative Eurosceptics by reaching out to the opposition leader in her search to identify a Brexit formula that can win a Commons majority.
Mr Corbyn said: "Talks have to mean a movement and so far there's been no change in those red lines".
The leaders also discussed the ongoing situation in Libya.
Mrs May and Mr Macron also discussed next month's European Parliamentary elections, with the prime minister saying the government was "working very hard" to avoid the need for the United Kingdom to take part as it is supposed to if it is still a member of the EU on 23 May.
A Day of Poll Order has been laid in Parliament, which is required by law for the vote to take place.
The Cabinet Office said the elections would be cancelled automatically if the United Kingdom left before then.
British Prime Minister Theresa May reacts as she arrives for a meeting to discuss Brexit with French President Emmanuel Macron (not seen) at the Elysee Palace in Paris, France, April 9, 2019.