The EU could give Britain back some control over immigration in a bid to halt Brexit, according to Tony Blair.
When former prime minister David Cameron made cutting EU immigration the focus of a deal he demanded before holding the referendum past year, other European governments argued London could do more within existing EU rules to limit arrivals.
Along with the comments, Blair's institute has released polling conducted on its behalf which shows, among other findings, that the majority of Britons are split on whether they would like a so-called soft or hard Brexit.
Downing Street said: "Our position is we will need to discuss a fair settlement of rights and obligations".
Also responding to Mr Blair's comments on a future Corbyn government, Labour shadow chancellor John McDonnell suggested the ex-premier hasn't really listened to the nature of the debate that is going on in the pubs, the clubs and school gates etc.More news: Quarterly Sales Analysis of United Parcel Service, Inc. (NYSE:UPS)
He added: "We think we can negotiate access and that will protect jobs and will protect the economy". But he said "as we know more about what Brexit means, our "will" changes".
The freedom of movement within the European Union and this makes it impossible for the Uk to control immigration have been one of the central motivations for the vote of the British in favour of an exit from the European Union in the referendum of June 23, 2016.
"If a rightwing populist punch in the form of Brexit was followed by a leftwing populist punch in the form of unreconstructed hard-left economics, Britain would hit the canvas, flat on our back and be out for a long count", he wrote.
"The Labour party should be cautious in thinking "one more heave" will deliver victory next time". "The Corbyn campaign was a positive factor in the election result; but the determining factor was the Tory campaign".
In his article on Saturday, Blair lamented that both Prime Minister Theresa May's Conservative Party and the opposition Labour Party had set their minds on leaving the single market, without exploring the alternatives. "This will become apparent to those who voted Remain".
"The British people's attitude to Europe is ambivalent", Blair said.