Police say the death toll from Saturday's attacks has risen to eight
Australian au pair Sara Zelenak is named as the latest victim of the attacks
Police searching for French national Xavier Thomas have recovered a body from the Thames
A 30-year-old man was arrested for terrorism offences in the early hours of Wednesday
Police casualty bureau can be contacted on 0800 096 1233 and 020 7158 0197
Ken Marsh, chairman of the Metropolitan Police Federation has praised the swift response of officers during the attack:
Quote MessageThere can be no doubt that the swift response of our colleagues – both armed and unarmed – saved further lives from being lost. There are barely words to describe their bravery – officers who ran towards danger with no thought for their own safety.
BBC Radio 5 live
Labour's Yvette Cooper, who chaired the House of Commons home affairs committee in the last Parliament, told Pienaar's Politics on BBC Radio 5 live: "Terrorists want not just to divide us - and we must not let that happen - but to cow us and instil fear.
"There is a huge determination across the whole country, particularly in London and Manchester, to ensure that the terrorists don't win in disrupting our way of life and disrupting the things we do.
"When it comes to the election you cannot allow three vile terrorists to jeopardise the democratic rights of tens of millions of British people across the country.
"That is why it is important the election should go ahead and we should be proud of and celebrate our democracy... and do not allow terrorists to twist the debate about the election as well."
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Hywel Griffith
Sydney correspondent
One of the two Australians who authorities say were "directly affected" by the attacks has been named by Australian media.
It is believed 31-year-old Candice Hedge, from Brisbane, was stabbed once in the neck but did not suffer life-threatening injuries.
A friend told TV channel ABC she was well enough to call from the hospital and explain that the knife missed her main arteries.
Hywel Griffith
Sydney correspondent
At least one New Zealand national has been seriously injured in the attack.
It is thought Oliver Dowling, 32, from Christchurch, was stabbed alongside his French girlfriend Marie Bondeville, with both requiring surgery.
A Facebook post by Mr Dowling's sister says he came through a four-hour operation and that the multiple stab wounds missed his vital organs.
It is believed his parents are at his bedside in London.
An armed police operation has taken place in Barking, east London, following the attack last night. Police haven't said whether it is related to the incident at London Bridge.
Archbishop of Canterbury: A sense of resilience and hope
The Archbishop of Canterbury said he reacted with "grief and horror" when he heard of the London attack.
The Most Reverend Justin Welby said: "Something that struck me this morning in this enormous Pentecost service, there was a profound sense of resilience, of faith and of hope."
An American tourist and his girlfriend on London Bridge last night describe the moment they saw the van driving into pedestrians. Dan Nguyen told the BBC:
Quote MessageI saw blinding white headlights weaving through cars and coming at us. It hit directly to the right of me. I saw a woman's body curled up in an unimaginable position. I looked ahead and saw there was a distance to go before the end of the bridge, so I braced myself to jump off the bridge into the river. Then I saw my girlfriend limping and sobbing so I ran back towards the scene to drag her away."
Quote Message
British Transport Police tweet...
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Three friends who were in London Bridge at the time of the attack have been speaking to BBC Breakfast about what they saw.
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ITV
Speaking on ITV's Peston on Sunday, Home Secretary Amber Rudd denied the Prevent strategy, the Government programme to stop radicalisation, had failed. But she said it needed to be strengthened in the face of escalating propaganda and attacks.
Quote MessageWhat we can see from the attacks that we’ve had yesterday and in the last few weeks is the scale of the onslaught of enemy propaganda at us. It doesn’t mean Prevent hasn’t done some great work. What we’ve seen over the past few months has been a new level of attacks. A new level of attacks that have been stopped - there have been five in the past two months, three have got through - given this new phase that we’re in we need to have an additional response.
Amber Rudd, Home secretary
Dominic Casciani
Home Affairs Correspondent
Last night's shocking scenes in London include a lot of accounts from eyewitneses of the police shouting at them to run or, for those trapped in bars, hide. Some public were filed out of the area with hands on their heads so that police knew for sure the suspects weren't among them.
The officers who were screaming these orders weren't doing so out of a sense of panic - these are tactics that have been devised to make the public focus on what they themselves need to do to stay safe amid a "marauding attack".
The more quickly people run out of an area - or hide if they can't - the more likely they are to be safe and the greater the chances are for armed officers to identify the attackers.
Image source, Metropolitan PoliceBBC Radio 5 live
Eyewitness Richard hid inside a locked restaurant to escape the unfolding terror attacks just yards away.
He told BBC Radio 5 live's Stephen Nolan: "You just look at everyone and terrorism was written across people's faces; people feared the worst.
"I saw a guy leave the neighbouring restaurant covered in blood...I hope he got to some safety."
Eyewitness Richard recalls hiding inside a restaurant to escape terrorists.
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ITV
The quick response by police within eight minutes meant that 80 paramedics were quickly able to access the scene to treat the injured, Home Secretary Amber Rudd told ITV's Peston on Sunday.
She praised the response of police, emergency services and British Transport Police. One British Transport Police officer who was first on the scene was among those injured, she said.
Image source, ReutersThe BBC's Cherry Wilson has spent the morning at the scene of the attack. She says the Costa coffee shop near London Bridge is full of families, couples and police officers, offering "some relief after a long night".
Paula Worrall, 38 from Liverpool, is in her party dress from the night before. She was unable to return to the nearby Premier Inn hotel.
"You have to carry on regardless but it definitely puts you on edge," she said.
"It's a bit eerie here. But the police have been fabulous. We just want a shower, a pair of jeans and some flat shoes."
BBC Radio 5 live
Candidates Yvette Cooper and Iain Duncan Smith say the election should carry on as normal
Most political parties have suspended national general election campaigning, but UKIP leader Paul Nuttall said he would not follow suit because that was "precisely what extremists would want us to do".
Prime Minister Theresa May said full campaigning would resume on Monday and the general election would go ahead as planned on Thursday.
Conservative Mr Duncan Smith told BBC Radio 5 live's John Pienaar that terrorists were striking during the general election to get the “most publicity” while the “world was watching” – and for that reason it was important to show “we don’t change what we do” by keeping the election date.
Labour’s Ms Cooper added that “three vile terrorists” should not be allowed “to jeapordise the rights of tens of millions of people” to take part in democracy.
The One Love concert in Manchester will go ahead as planned on Sunday
Image source, PAMusic fans have started queuing outside the Old Trafford Cricket Ground ahead of tonight's One Love Manchester concert.
Sophie Wheeler and Erin O'Connor, both 17, say they're determined to be there.
"We're slightly concerned but we just think that the security, if anything, is going to be more intense, and I feel pretty safe coming, knowing that they're not going to put anything on without us being in complete safety, especially with the events that have happened last night," said Sophie.
One Love Manchester: 'Greater purpose' after London attack
Erin added: "My Mum and Dad was a bit worried about me coming because of what happened in London...They shouldn't really let the terrorists put you off from doing things that you want to do."
Image source, ReutersThe Australian prime minister has confirmed that authorities believe "two Australians have been directly affected by the attack".
Malcolm Turnbull told a press conference the attack was "another cruel example of the new reality with which we live".
"We send our heartfelt sympathy and love to the victims and their families and to the people of Britain," he said.
Frank Gardner
BBC Security Correspondent
The BBC's security correspondent says supporters of so-called Islamic State have been "celebrating the London attack, even before any claim has been made by IS".
Quote MessageThere was never much doubt either in their minds, or in those of British counter-terrorism officials, that this was a jihadist attack inspired by IS. It follows a widely-circulated propaganda message put out by the group on social media urging its followers to attack civilians in the West using trucks, knives or guns. The message makes reference to the current Islamic holy month of Ramadan. Last year attacks intensified during this month with deaths resulting in Istanbul, Dhaka and Baghdad. Some analysts see this as a last desperate bid by IS to its supporters following multiple setbacks in the Middle East where its self-proclaimed caliphate is shrinking fast. However, the ideology of IS is likely to survive those defeats and will continue to fuel terrorist attacks around the world.