Plans to introduce a 14-day quarantine for the majority of people entering the country, including UK nationals, will be put before Parliament later. But in the face of criticism from some, including Conservative MPs, the BBC has learned the government is looking at ways it can be relaxed over the coming months. Critics fear the policy will cause huge damage to the aviation, travel and hospitality industries. 

One government source told Newsnight ministers were considering options for greater flexibility, including travel corridors - so-called "air bridges" - to countries with low infection rates. Any changes would be guided by science, but one possible date for a relaxation could be 20 July, coinciding with school holidays. Read more on quarantine and what it means for summer trips. Meanwhile, there's been a boost for domestic tourism in Northern Ireland, as authorities set a date for hotels to reopen.

Monday saw a relaxation in some lockdown rules, including for the most vulnerable. But the BBC has spoken to a number of those shielding who still chose not to leave the house. There have been concerns about people flouting the new rules, and Scotland's First Minister Nicola Sturgeon warned she would bring in tougher laws if necessary. What powers do the police currently have? Our home affairs correspondent explains. And just how dangerous is lifting lockdown to public health?

In other news, Oxfam has announced it'll start reopening its stores from 15 June. The House of Commons is struggling to come up with a way to allow all members, including those with health conditions, to continue to take part in Parliament. And there's been a surge in demand for rental properties during the pandemic - find out why.

Beyond the UK, countries across Europe are continuing to ease restrictions, with restaurants, hotels and cultural sights getting back to business. It's not plain-sailing everywhere, though. Germany's successful handling of the pandemic attracted praise, but reopening has been more chaotic, characterised by squabbling between regional leaders. BBC Berlin correspondent Jenny Hill explains more. Russia is easing lockdown despite having one of the highest infection rates in the world, so how much is politics there playing a part? 

India has recorded a new record daily spike in cases with 8,392 fresh infections. The country continues to press on with ending lockdown despite fears it's still in the grip of the pandemic. There's a similar debate in Mexico, where the country has passed the grim milestone of 10,000 virus deaths. but is taking steps to reopen.

Elsewhere, in Australia, officials have confirmed the country's "youngest victim" did not, in fact, have Covid-19 and apologised to his family. And in China, the Marriott group has reopened all of its hotels as business travel rebounds. 

Our live page has all the latest from around the world.

We're all wondering how some of our valued activities will get back to something like normal. What's the future, for example, of religious worship in the UK with ongoing social distancing? We take a look. And what about leisure and cultural pursuits? How might going for a swim at the local pool be, for one? Elsewhere in Europe, art galleries and museums are already starting to reopen, so see how they're going about things.

Finally this morning, something completely different. BBC Breakfast has commissioned poet Hussain Manawer to mark three months since the first UK coronavirus death. Hear his emotional tribute.

Many front pages picture children returning to school in England.  "Small steps into a new normal" is the Daily Mirror's headline, alongside a photo of a teacher wearing protective kit as she takes the temperature of a girl arriving for class. The Times reports that the government's plan to have all children back by the start of July is "under review". The i, meanwhile, reveals plans for "beefed-up" school summer camps to help disadvantaged children catch up. Elsewhere, hostility towards the 14-day quarantine plan makes the front of the Daily Telegraph. It reports the "troubled policy" has been championed by the prime minister's chief aide, Dominic Cummings, but he has lost the battle within government and the measure could be phased out just weeks after being introduced. Finally, the Daily Mail and Sun cover suggestions that one metre, rather than two, could be enough for social distancing guidance going forward. The latter paper thinks a change would pave the way for pubs to reopen and imagines how that might look.

From elsewhere

Martin Lewis, founder of Money Saving Expert, answers your questions on finances and the pandemic, covering everything from mortgage holidays to help for the self-employed. And Coronavirus Newscast discusses the partial return to the classroom for some.

We hear from protesters across the US about what they hope to achieve following the death of George Floyd at the hands of police. And we speak to people who've joined demonstrations in the UK about why events across the Atlantic resonate so strongly. Elsewhere, Nobel laureate Wole Soyinka helped set up university brotherhoods in the 1950s but never imagined what they would become. Take a look inside Nigeria's deadly and secretive campus cults.