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.
On the BBCs Andrew Marr Show, the UKs de-facto Deputy Prime Minister David Liddington said the talks must not be allowed to drag on for months.
"What we have agreed is a programme of meetings next week on particular subjects with the ministers and shadow ministers concerned getting together", he told the BBC.
"What we have found in terms of objectives... there is fair bit that both parties would have in common", he said, but added: "If we are going to find an agreement there needs to be movement on both sides".
"But I don't think that this question can be allowed to drag out for much longer".
"Then we would hope to take stock of where we are as soon as parliament gets back after the Easter recess", he said.
He said that although a no-deal Brexit appeared less likely, he hoped a recently signed EU-Japan trade deal would roll over to the United Kingdom if it left without a deal.
Former British foreign secretary Margaret Beckett, a Labour member, also called for the manifesto to back a second public vote, saying: "It is very important that there is a clear message about where Labour stands and what Labour is offering".
"The government's position has not changed".
One option that was narrowly defeated in the customs union was Ken Clarke's motion for a permanent customs union failed by just three votes earlier this month.
The MP for Chingford and Woodford Green warned against his party embracing Labour's Brexit policy, saying he had "real concerns with some of my colleagues going out lauding Jeremy Corbyn".
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.
He added: "I am a little bit anxious that the European Union in future will be determining trade deals and we won't really have a say".
The message from Richard Corbett, who leads Labour's 20 members of the European Parliament, came amid growing fears at the top of the party that it could lose a generation of young, pro-EU voters if it does not guarantee another public vote.