"They went "this is for Allah" and they had a woman on the floor, they were stabbing her", said witness Gerard Vowls.
"This attack is yet another cruel example of the new reality with which we live, the ever-present threat of murderous Islamist terrorists, intent to harm our communities, our way of life and the freedoms we hold dear". "It is an ideology that claims our Western values and freedom, democracy and human rights are incompatible with the religion of Islam".
May also called for global agreements to regulate cyberspace and deny terrorism the "safe space it needs to breed". Twitter and Google were among major tech firms issuing statements saying they were working to deny terrorists an online voice.
Emergency officials said 48 people, including a transport police officer and an off-duty officer, were treated at hospitals across London.
Rowley says police are confident that the three men fatally shot by officers in the minutes after the assault were the only attackers, but there is "clearly more to do" in the investigation.
"And as we do, it is my view that two important principles must be adhered to", she said. Three armed attackers were killed by police.
"Indeed I am not surprised that, faced with what they must have feared were three suicide bombers, the firearms officers fired an unprecedented number of rounds to be completely confident they had neutralised those threats".
"Renting a simple van and getting a few of your like-minded friends to commit this kind of attack is essentially impossible to stop", said Shiraz Maher, a senior research fellow at the International Center for the Study of Radicalization at Kings College.
It's more than just the style of policing that's evolved as the city adjusts to a new brand of do-it-yourself terrorism that involves tiny cells rather than sprawling support networks. The alleged connection to the attack was not revealed.
"We will work relentlessly to establish the facts", he said.
Cornet, Garcia advance in boost for home fans at French Open
But under a cloud-filled sky at Court Philippe Chatrier, Murray was looking more and more like the top-ranked player that he is. Kasatkina began tentatively against the Romanian third seed in what looked like a case of big-match nerves.
The London Ambulance Service said at least 20 injured people had been taken to six hospitals, and British media said several people had been killed. Police officers yelled at people to run from the area, and blasts were heard as officers performed a series of controlled explosions. He and others at the restaurant helped some of the wounded. The president tweeted in part, "We need the Travel Ban as an extra level of safety!" With successful gun control, the terrorists had to rely on vehicles and knives.
"The bottom line is that in too many places, in too many parts of the world, you've got a large gap between governance and people and between the opportunities those people have", Kerry said Sunday on NBC's "Meet the Press". "We must be smart!" He urged all Londoners to "remain calm and vigilant today and over the days ahead".
Mr Nuttall appeared on a Question Time general election special on Sunday night, as did Green Party co-leader Jonathan Bartley, with security and terrorism both featuring heavily. I went 'Oi, oi cowards!' - something like that to them.
His final tweet on Saturday night was one of condolence: "Whatever the United States can do to help out in London and the U. K., we will be there", Trump wrote. A Canadian was killed in the attack and a Spanish citizen, one Australian and four French people were also among the wounded.
European Council president Donald Tusk said in a tweet: "My heart and mind are in London after another cowardly attack".
The two incidents indicate the limitations under which the terrorists have to operate in Britain.
The death toll of seven didn't include the three attackers.
Prime Minister Theresa May has blamed Islamic extremists.
The attack in central London came just weeks after a suicide bombing at a concert in Manchester left 22 dead, and it recalled an attack in March when a man drove a vehicle into pedestrians near the seat of Parliament, killing five. Abedi died at the scene.
There was no immediate claim of responsibility for the London Bridge attack.
USA president Donald Trump sparked controversy in the aftermath of Saturday night's attack as he appeared to criticise London mayor Sadiq Khan over his response to the tragedy. The concert drew a huge crowd and heavy security.