A Downing Street spokesman said Tuesday night that Prime Minister Theresa May and the opposition Labor leader Jeremy Corbyn met to make clear their determination to bring the talks to a conclusion and deliver on the referendum result to leave the European Union (EU).

"We will therefore be bringing forward the Withdrawal Agreement Bill in the week beginning the June 3," the spokesman said.

"It is imperative we do so then if the UK is to leave the EU before the summer Parliamentary recess," he added.

Talks will continue at an official level on Wednesday as the Conservative Party keeps seeking the stable majority in Parliament that will ensure the passage of the Withdrawal Agreement Bill.