The Chancellor, George Osborne, believes more stringent checks on the border between Northern Ireland and the Republic are inevitable, should the UK leave the EU.
Staying in the EU is the "riskier" option for the UK because it will be unable to control rising migration, Boris Johnson warns - as Remain campaigners accuse his side of "fantasy politics".
The claim: The Vote Leave campaign is claiming that "UK taxpayers will keep paying for the huge bills caused by the euro crisis" and that "these bills will only increase".
Reality Check verdict: The UK will not pay for future eurozone bailouts. This has already been agreed by EU leaders. In addition, the UK-EU deal from February, which will be implemented if the UK votes to stay in the EU, reinforces this and states that the UK would be reimbursed if the general EU budget is used for the cost of the eurozone crisis.
Video caption: Jacob Rees-Mogg launches an extraordinary attack on the former Prime Minister John MajorJacob Rees-Mogg launches an extraordinary attack on the former Prime Minister John Major
Jacob Rees-Mogg launches an extraordinary attack on the former Prime Minister John Major. The Conservative backbencher tells Carolyn Quinn on the Westminster Hour that the former PrM "destroyed hundreds of thousands of jobs with his failed European policy". He said John Major "ought to know how to behave better" and it was "all to do with his bitterness over his failings".
Johnson and PM disagree over EU impact on UK fishermen
BBCCopyright: BBC
No doubt Andrew Marr will quiz Boris Johnson on a wide range of topics, and it's possible the EU's role in the UK fishing industry could be one of them. The former London mayor, from the Leave campaign, told BBC's Countryfile British fishermen needed to be freed from "crazy" EU rules.
But his views clashed with those of the prime minister, who told the programme the value of the UK's fishing industry had gone up over the last five years.
The EU's Common Fisheries Policy sets rules for the amount of fish each country's boats can catch.
UK 'could be dragged into future eurozone bailout', warn Leave campaigners
Getty ImagesCopyright: Getty Images
Elsewhere, in a letter to David Cameron and George Osborne, leading Vote Leave campaigners say remaining in the EU would tie Britain's economy to a eurozone "crisis", which is a "danger to Britain".
Justice Secretary Michael Gove, former London Mayor Boris Johnson, and Gisela Stuart, MP for Birmingham Edgbaston, warned the UK would not be protected from future potential bailouts of eurozone countries.
"The eurozone institutions remain broken and have been unable to cope with the euro's crisis," they wrote.
EU exit 'could push up UK mortgage costs', warns PM
PACopyright: PA
Our main story this morning is the warning from David Cameron that the cost of an average mortgage in the UK could rise by nearly £1,000 a year if Britain leaves the European Union.
He and other Remain campaigners say uncertainty caused by exiting the EU could tighten credit conditions and push up rates according to Treasury analysis.
Leave campaigners, though, are calling the claims "desperate stuff".
Hello and welcome to today's live coverage of the EU referendum campaign. We'll bring you all the main news from Sunday's political programmes, as well as analysis on the latest arguments from the Leave and Remain sides.
Summary of Friday's developments
Michael Gove has faced live questions on the EU referendum. The pro-Leave justice secretary's grilling was the followup to David Cameron's the night before. He called on voters to "take back control" from "Europe's elites". He faced often hostile questions including on Vote Leave's claims about the cost of the EU. Scroll down for as-it-happened text commentary or read the report of the show here.
After the programme, Vote Leave called for an extra £100m a week - saved by quitting the EU - to be spent on the NHS.
The Remain campaign said Mr Gove had "failed to set out a credible plan for Britain outside the EU".
Earlier:
JP Morgan warned it may cut up to 4,000 UK jobs if there is a vote to leave the European Union
The Electoral Commission said polling cards were wrongly sent to at least 3,462 EU citizens who are not allowed to vote in the referendum
Downing Street said family members of British soldiers who died in the Iraq war will not have to pay £767 for copies of the Chilcot report
UKIP's only MP praises Gove's interview
Douglas Carswell, UKIP's only MP, said Michael Gove "did fantastically" during a Sky News interview.
He said the audience was "shockingly hostile" to David Cameron but applauded Michael Gove after pretty much every answer.
He said it had been a very good evening for the Leave campaign.
Mr Carswell said: "He went down incredibly well with the audience in the studio."
Gove's 'positive message'
Tory MP and justice minister Dominic Raab, an "Out" campaigner, told Sky News that Mr Gove portrayed an optimistic view.
He said: "We didn't descend into any of this negative scaremongering.
"I think that the message is positive as it is about taking back control."
Gove 'was a fact-free zone'
Lord Falconer, shadow justice secretary and "In" campaigner, told Sky News: "Michael never mentioned once what the detail of the economy would look like."
"My feeling is that the British people want the facts and Michael was a fact-free zone tonight."
He said there were "a lot" of economists who said the UK would suffer a "severe economic downturn" if we leave the EU.
Live Reporting
Aiden James and Jackie Storer
All times stated are UK
Get involved
BBCCopyright: BBC 
Video caption: Jacob Rees-Mogg launches an extraordinary attack on the former Prime Minister John MajorJacob Rees-Mogg launches an extraordinary attack on the former Prime Minister John Major 
BBCCopyright: BBC View more on twitterView more on twitter 
Getty ImagesCopyright: Getty Images 
PACopyright: PA View more on twitterView more on twitter View more on twitterView more on twitter View more on twitterView more on twitter
Latest PostWhat happens now that a deal's been done?
The UK and EU begin a new relationship on 1 January 2021.
Read moreDutch PM's Brexit immigration warning
The Dutch prime minister warns other countries will retaliate if the UK leaves the EU and adopts a points-based migration policy.
Read moreHow to register to vote in EU referendum
The deadline to register to vote in the UK's European Referendum is at midnight on 9 June. Here's how to register.
Read moreOsborne says NI border checks 'inevitable'
The Chancellor, George Osborne, believes more stringent checks on the border between Northern Ireland and the Republic are inevitable, should the UK leave the EU.
Read moreJohnson warns of EU migration 'risks'
Staying in the EU is the "riskier" option for the UK because it will be unable to control rising migration, Boris Johnson warns - as Remain campaigners accuse his side of "fantasy politics".
Read moreTime to switch over...
Please click here to follow live page updates from Sunday 5 June onwards.
Reality Check
Will the UK pay for future euro bailouts?
The claim: The Vote Leave campaign is claiming that "UK taxpayers will keep paying for the huge bills caused by the euro crisis" and that "these bills will only increase".
Reality Check verdict: The UK will not pay for future eurozone bailouts. This has already been agreed by EU leaders. In addition, the UK-EU deal from February, which will be implemented if the UK votes to stay in the EU, reinforces this and states that the UK would be reimbursed if the general EU budget is used for the cost of the eurozone crisis.
Read more.
Rees-Mogg on Major: The 'bitter ramblings of a vengeful man'
Westminster Hour
Radio 4's Westminster Hour
Video content
Jacob Rees-Mogg launches an extraordinary attack on the former Prime Minister John Major. The Conservative backbencher tells Carolyn Quinn on the Westminster Hour that the former PrM "destroyed hundreds of thousands of jobs with his failed European policy". He said John Major "ought to know how to behave better" and it was "all to do with his bitterness over his failings".
Did 1975 EU predictions come true?
By Brian Wheeler
Political reporter
Both sides in the 1975 European referendum made some bold claims - did any of them come true?
Read moreJohnson and PM disagree over EU impact on UK fishermen
No doubt Andrew Marr will quiz Boris Johnson on a wide range of topics, and it's possible the EU's role in the UK fishing industry could be one of them. The former London mayor, from the Leave campaign, told BBC's Countryfile British fishermen needed to be freed from "crazy" EU rules.
But his views clashed with those of the prime minister, who told the programme the value of the UK's fishing industry had gone up over the last five years.
The EU's Common Fisheries Policy sets rules for the amount of fish each country's boats can catch.
Read more.
Coming up shortly on The Andrew Marr Show
UK 'could be dragged into future eurozone bailout', warn Leave campaigners
Elsewhere, in a letter to David Cameron and George Osborne, leading Vote Leave campaigners say remaining in the EU would tie Britain's economy to a eurozone "crisis", which is a "danger to Britain".
Justice Secretary Michael Gove, former London Mayor Boris Johnson, and Gisela Stuart, MP for Birmingham Edgbaston, warned the UK would not be protected from future potential bailouts of eurozone countries.
"The eurozone institutions remain broken and have been unable to cope with the euro's crisis," they wrote.
EU exit 'could push up UK mortgage costs', warns PM
Our main story this morning is the warning from David Cameron that the cost of an average mortgage in the UK could rise by nearly £1,000 a year if Britain leaves the European Union.
He and other Remain campaigners say uncertainty caused by exiting the EU could tighten credit conditions and push up rates according to Treasury analysis.
Leave campaigners, though, are calling the claims "desperate stuff".
Read more
Good morning
Hello and welcome to today's live coverage of the EU referendum campaign. We'll bring you all the main news from Sunday's political programmes, as well as analysis on the latest arguments from the Leave and Remain sides.
Summary of Friday's developments
Michael Gove has faced live questions on the EU referendum. The pro-Leave justice secretary's grilling was the followup to David Cameron's the night before. He called on voters to "take back control" from "Europe's elites". He faced often hostile questions including on Vote Leave's claims about the cost of the EU. Scroll down for as-it-happened text commentary or read the report of the show here.
After the programme, Vote Leave called for an extra £100m a week - saved by quitting the EU - to be spent on the NHS.
The Remain campaign said Mr Gove had "failed to set out a credible plan for Britain outside the EU".
Earlier:
JP Morgan warned it may cut up to 4,000 UK jobs if there is a vote to leave the European Union
The Electoral Commission said polling cards were wrongly sent to at least 3,462 EU citizens who are not allowed to vote in the referendum
Downing Street said family members of British soldiers who died in the Iraq war will not have to pay £767 for copies of the Chilcot report
UKIP's only MP praises Gove's interview
Douglas Carswell, UKIP's only MP, said Michael Gove "did fantastically" during a Sky News interview.
He said the audience was "shockingly hostile" to David Cameron but applauded Michael Gove after pretty much every answer.
He said it had been a very good evening for the Leave campaign.
Mr Carswell said: "He went down incredibly well with the audience in the studio."
Gove's 'positive message'
Tory MP and justice minister Dominic Raab, an "Out" campaigner, told Sky News that Mr Gove portrayed an optimistic view.
He said: "We didn't descend into any of this negative scaremongering.
"I think that the message is positive as it is about taking back control."
Gove 'was a fact-free zone'
Lord Falconer, shadow justice secretary and "In" campaigner, told Sky News: "Michael never mentioned once what the detail of the economy would look like."
"My feeling is that the British people want the facts and Michael was a fact-free zone tonight."
He said there were "a lot" of economists who said the UK would suffer a "severe economic downturn" if we leave the EU.
Leave campaign 'can't guarantee people's jobs'
Britain Stronger In Europe tweets...
'Terrific, calm performance' from Gove
Ukip leader tweets...