Meanwhile, the Sunday Express says senior Government figures have warned that "Brexit is dead" - although Brexiteers have vowed to keep fighting until the United Kingdom leaves the EU.
The prime minister is facing renewed calls from Tory Brexit supporters to step down as talks with Labour over the European Union withdrawal bill continue during the Easter recess.
The poll said Labour leader Jeremy Corbyn would have a high chance of entering the Number 10 Downing Street because his party would be the largest in the Commons after a general election as many conservative supporters would vote for nationalist parties like the UK Independence Party (UKIP) or the newly-launched Brexit Party run by former UKIP leader Nigel Farage.
Mrs Pelosi met the three MPs along with half a dozen other members of Congress before meeting Jeremy Corbyn, the Labour leader.
The Conservative Party faces being swept from power by Jeremy Corbyn with the loss of almost 60 seats in the event of a general election, according to new polling.
The Sunday Telegraph says an analysis of polls suggests Mr Corbyn is heading for No10 after Theresa May failed to deliver on her promise to take Britain out of the European Union by March 29.
Without any consensus in parliament, reflective of a deeply divided population, all outcomes remain possible in the coming weeks and months: leaving the European Union with a deal, a disorderly exit without a deal, or another vote on whether to leave at all.
It would win 296 seats of the 650 parliamentary seats, against 259 for the Conservatives.
Former Conservative leader Iain Duncan Smith called Sunday on May to resign as prime minister next month.
Despite the best efforts by Remainers to use European Parliament elections to their advantage, think tank Open Europe said last week that the polls are likely to result in a "protest" vote, where Britons will "send a message" to the establishment, punishing them for failing to deliver Brexit. "If on the other hand we do offer clarity and a confirmatory ballot we could do very well", Corbett said.
They would discuss environmental standards and workers' rights after Brexit as well as the future security relationship with the EU.
Lidington said while there was no deadline, both sides would take stock in 10 days.