The UK has recorded its lowest daily coronavirus death toll since lockdown began in March as new measures came into effect on Monday with the aim of thwarting a second wave of the virus.
Travellers entering the UK have been told they will now be required to self-isolate for 14 days, with those who fail to comply facing a £1,000 fine in England.
Meanwhile, New Zealand has become one of the first countries to declare itself Covid-19 free as it plans to lift all lockdown measures except for border controls. The global death toll from the pandemic has now passed 400,000, with over 7 million infections reported.
Follow the day's events as they happened
Two-week quarantine for all UK arrivals comes into force
Travellers entering the UK will now be required to self-isolate for 14 days as the government attempts to thwart a second wave of coronavirus.
All passengers - bar a handful of exemptions - will have to fill out an online locator form giving their contact and travel details, as well as the address of where they will isolate.
People who fail to comply could be fined £1,000 in England, and police will be allowed to use "reasonable force" to make sure they follow the rules.
Border Force officers will carry out checks on arrivals and may refuse entry to a non-resident foreign national who refuses to comply with the regulations.
Failure to complete the locator form will be punishable by a £100 fixed penalty notice.
New Zealand declares itself coronavirus free
New Zealand has eradicated the coronavirus from its shores after health officials reported that the final person known to have been infected had recovered.
The news swiftly led to the country's government announcing all forms of public events can again take place without limitations or social distancing guidelines.
It has been 17 days since the last new case was reported in New Zealand, and Monday also marked the first time since late February there had been no active cases.
Health officials caution that new cases could be imported into the country, which has closed its borders to everybody but citizens and residents, with some exceptions.
"We are confident we have eliminated transmission of the virus in New Zealand for now, but elimination is not a point in time, it is a sustained effort," New Zealand's prime minister, Jacinda Ardern, told a news conference.
"We almost certainly will see cases here again ... and that is not a sign that we have failed, it is a reality of this virus. But if and when that occurs we have to make sure and we are, that we are prepared."
UK quarantine will cause 'untold devastation' for tourism industry, Ryanair boss says
Ryanair chief executive Michael O'Leary predicted the UK quarantine will cause "untold devastation" for the country's tourism industry.
He told BBC Radio's 4 Today programme: "What it is going to do is untold devastation, not just to the airlines but to British tourism.
"The thousands of hotels, the thousands of visitor attractions, restaurants in the next couple of months - July and August are the two key months for British tourism in the tourism industry.
"We're facing thousands of jobs losses because of a stupid, ineffective quarantine."
He said Ryanair bookings were down about 50 per cent on the same time last year but that outbound flights remained popular compared with inbound journeys, with European travellers being put off coming to the UK due to the restrictions to self-isolate for 14 days upon arrival.
Border Force staff 'angry' at how they have been treated, union says
Lucy Moreton, professional officer at the Immigration Services Union, said Border Force staff checking quarantine papers were "angry" at the way they were being treated.
She told BBC Radio 4's Today programme that technical papers explaining to staff what to check for only arrived on Friday and were still not available to those operating on the front line of the devolved administrations.
Ms Moreton added: "The staff are really angry that this does appear to be very shambolic and they don't want to be blamed for that."
She added there was "no provision to check the address" that arrivals had given for where they would self-isolate and that the system was built on "trust".
Country will have to 'hold our breath' on possible rise in cases after mass protests
Policing minister Kit Malthouse said the country would have to "hold our breath" on a possible rise in coronavirus cases, following the mass gatherings over the weekend for the anti-racism protests.
His comments came after scientists predicted that one in 600 people have the virus.
When put to him on BBC Radio 4's Today programme that such a ratio meant Covid-19 would have been spread by protesters, Mr Malthouse said: "That's certainly the danger we are running at.
"We will all have to hold our breath over the next couple of weeks to see exactly what the impact has been. It is very unfortunate.
"As we have said right from the start, we urge people not to participate on public health grounds, notwithstanding the obvious strength of feeling that they have."
Heathrow boss did not challenge quarantine measures
Heathrow boss John Holland-Kaye said he did not challenge the new quarantine measures for international arrivals, saying the government's focus should be on devising a plan by the end of June to reopen borders.
Speaking to Sky News, the chief executive of Heathrow Airport said: "We are not challenging the quarantine if it is based on good health reasons, we are supporting everything the government is doing to keep this country safe."
He added: "I am not interested in looking back and challenging decisions that have been made, I want to look forward to see how we rebuild the economy in a better way as we come out of this crisis.
"And that means more constructive dialogue, more engaging with the government, not just fighting with one another."
Millions of British tourism jobs to be lost, Ryanair boss says
Speaking about the quarantine for international arrivals on Good Morning Britain, Ryanair boss Michael O'Leary said: "We're seeing thousands of British families booking their holidays in Portugal, in Spain and Italy, but there's almost a collapse of inward bookings bringing those Italians, bringing those Europeans here to the UK, on which Britain's tourism industry depends, particularly in the peak months of July and August.
"What's irrational about it is all of those countries have a much lower Covid rate than the UK."
He added: "Millions of jobs are going to be lost in British tourism because British hotels, British guest houses, British visitor attractions - all over London, the Globe, the London Eye, Madame Tussauds - will be empty, because the hundreds of thousands of Italians and Spanish and French people you get coming to Britain every July and August simply won't travel."
New Zealand now free of coronavirus after last known patient recovers
New Zealand no longer has any active coronavirus cases after the last known patient recovered from the disease, prime minister Jacinda Ardern has said, Rory Sullivan reports.
As a result, social distancing restrictions will be lifted from midnight on Monday, as the country downgrades its national alert from level two to level one.
However, border controls will remain in place and everyone entering New Zealand will still be tested.
Quarantine works best when transmission rate lower than current UK levels, Royal Society president says
Professor Venki Ramakrishnan, president of the Royal Society, said quarantine works best when Covid-19 transmission is at a rate lower than the UK's current numbers.
He told BBC Radio 4's Today programme that, as a participating member of the Scientific Advisory Group for Emergencies (Sage) for the past month, he had not seen any scientific evidence related to the quarantine.
Prof Ramakrishnan added: "I would say that countries that have imposed quarantine did so either very early or after the case rate in the country had gone down quite a bit.
"And I should say, we're still not quite at the stage where the case rate is down to well below a thousand and the number of deaths per day is in the tens.
"But this is of course not purely a scientific decision.
"One has to balance various considerations and so I can't really comment on the timing."
Labour calls for government evidence to back quarantine
Shadow chancellor Anneliese Dodds said Labour was "not against the principle of quarantine" but wanted to see more evidence about why it had been introduced now.
She told BBC Radio 4's Today programme: "Government has said to us they believe that the evidence indicates this is the right time.
"Government has said to us they have the evidence to back up their approach, but we have not seen that evidence and we have not seen from them why they're not using more expansive test, track and trace.
"We're not against the principle of quarantine - as I said, for a long time we were asking why it hadn't been introduced in the UK.
"But we really don't understand why this approach is being taken now when there are alternatives available."
Quarantine 'will cause long-lasting damage' to travel industry, says Tui boss
The UK boss of Europe’s biggest holiday company has said quarantine "will cause long-lasting damage for the travel industry”, travel correspondent Simon Calder reports.
Andrew Flintham, managing director, Tui UK & Ireland, said: “We therefore believe it is critical to allow people to begin to fly again as soon as possible, to help protect jobs and allow those that want to travel to do so.
“We therefore call upon government to give a clear timeline for when the current FCO advice will be reviewed and decide on alternatives to a blanket quarantine, such as air bridges, as quickly as possible.”
Greece allows bars and nightclubs to reopen
Bars, nightclubs and internet cafes have been allowed to reopen in Greece.
An early lockdown has been credited with keeping the number of coronavirus deaths and serious illnesses at low levels.
Nearly all lockdown measures have now been lifted in a phased reopening, with regulations in place for businesses to maintain limits on the number of customers allowed and distances to be maintained.
Loneliness at same levels as before lockdown, survey suggests
Five per cent of people in Britain reported that they felt lonely "often" or "always" between 3 April and 3 May, about the same proportion as pre-lockdown, according to an Opinions and Lifestyle Survey from the Office for National Statistics.
Of those asked, 30.9 per cent reported their wellbeing had been affected through feeling lonely in the past seven days.
A total of 2,440 adults took part in the survey.
Working-age adults living alone were more likely to report loneliness both "often or always" and over the past seven days than the average adult.
This was also the case for those in "bad" or "very bad" health, in rented accommodation, or who were either single, or divorced, separated or a former or separated civil partner.
India reopens restaurants and shopping centres even as cases increase
India is reopening its restaurants, shopping centres and religious places even as the number of coronavirus cases and deaths in the country grows.
The Health Ministry reported another 9,983 cases on Monday, raising India's count past 256,000 to become the fifth most in the world.
The 206 fatalities reported on Monday were the highest single-day rise and takes the country's death toll to 7,135.
New Delhi is also reopening its state borders, allowing the interstate movement of people and goods.
India has already partially restored train services and domestic flights and allowed shops and manufacturing to reopen. Schools remain closed.
The number of new cases has soared since the government began relaxing restrictions. There has also been a surge in infections in India's vast countryside following the return of hundreds of thousands of migrant workers who left cities and towns after losing their jobs.
Passengers criticise lockdown measures as lacking 'common sense'
Passengers arriving at Stansted Airport on a flight from Eindhoven in the Netherlands shared their views on new quarantine measures requiring travellers to the UK to self-isolate for 14 days.
Shopkeeper Netti Rexhmet, 32, who runs an off-licence in Chigwell in London, told the PA news agency the rule will prevent him from working for a fortnight.
Speaking as he walked through arrivals, he said: "We haven't got any other options, it's government law so I shall do it.
"For me, I wouldn't want to do it. I'd like to be open.
"I've got things to do, you have to live now, you have to pay."
Ali Gurlek, 30, a software developer from London who spent the weekend visiting friends in the Netherlands, criticised the measures as lacking in "common sense".
"Now we're going to use public transport," he said.
"If we have it then it's going to spread that.
"It doesn't look very common sense."
Kamil Farah, 24, from East Ham, London, said: "I don't want to do it but I have to for the better good.
"There's a lot of people dying and a lot of things happened this year."
What to expect as dentists reopen in England
Since 23 March when the UK went into lockdown, anyone requiring a non-urgent appointment with their dentist has had to wait.
Now all private and NHS dental practices in England are permitted to reopen from Monday 8 June, according to chief dental officer, Sara Hurley.
In a letter to dentists, Ms Hurley said face-to-face care can resume from that date but not without necessary infection prevention measures in place first, Sophie Gallagher reports.
So when can you expect to book an appointment now practices are reopening?
Listen to the latest episode of The Independent Coronavirus Podcast
On The Independent Coronavirus Podcast today deputy editor David Marley is joined by author and pandemics expert Mark Honigsbaum to discuss how this virus, and others like it in the past, came to be.
Where did this virus originate and how does the global response compare to previous examples of pandemics?
Mr Honigsbaum is the author of the book The Pandemic Century which takes readers from the 1918 Spanish Flu to more recent viruses such as Sars and Mers.
Russia to reopen borders
Russia says it will partially reopen the country's borders as the country eases coronavirus restrictions.
The country's prime minister, Mikhail Mishustin, said travelling abroad for the purposes of work, studying, receiving medical treatment or taking care of relatives will be allowed.
He said Russia will let in foreigners seeking medical treatment or taking care of family members.
It was not immediately clear when the partial reopening of the borders would go into effect.
The country's health officials, however, have been reporting around 9,000 new infections daily since mid May and some experts are concerned that easing lockdown restrictions may be premature.
