06 June, 2017
On Sunday, police arrested 12 people in the investigation into Saturday's attack.
On Sunday, a spokesman for the London mayor said he was working with the police, emergency services and government to coordinate the response to the attack, and had "more important things to do" than to respond to Trump.
Meanwhile, crowds gathered by London's beloved Tower Bridge on Monday - many Muslims among them - to grieve for the victims of the city's second jihadist attack in three months.
Britain will vote in a national election on Thursday, just days after militants killed seven people in the heart of London on Saturday night. Counterterrorism police raided two addresses in the Newham and Barking areas.
United States pop star Ariana Grande made an emotional but triumphant return to the stage for a charity show on Sunday after 22 people were killed in a terror attack at her Manchester Arena concert on May 22.
The Islamic State, or ISIS, said it was responsible for the vehicle and knife assault, but that claim has not been substantiated.
One person has been released without charge. Among them is an off-duty policeman who was stabbed in the face after rugby-tackling one of the three attackers.
Mr Trump had launched a series of comments about Mr Khan, whom he has criticised before, in which he said he was being "politically correct".
White House spokeswoman Sarah Sanders said she did not think it was fair to characterise Trump's tweets as "picking a fight" with Khan, who is the first Muslim elected as London mayor.
On Monday the president brushed aside criticism of his original posting, tweeting: "Pathetic excuse by London Mayor Sadiq Khan who had to think fast on his "no reason to be alarmed" statement".
May has said counter-terrorism budgets have been protected and the police were given the powers they need.
She said providing more firearms for London police wouldn't be a sensible solution to the increased tempo of attacks, saying the strategy of having special mobile units of heavily armed officers is effective. "[Mainsteam media] is working hard to sell it!" the commander-in-chief tweeted at 9:49 a.m.
Indeed, British officials said Monday that one of the two attackers shot dead at the scene was known to police and had appeared in a 2016 documentary about extremism. No reason to be alarmed.
Khan and Police Commissioner Cressida Dick toured the site of the attack and praised the quick police work that they said prevented further deaths. "She moved to Europe to be with her fiance".
The national health authority said 18 people remained in a critical condition.
"It is time to say enough is enough", she said.
No details have been released about the perpetrators, who were shot dead within eight minutes of the first call to the police.
A vigil will be held in central London on Monday evening to remember the victims of the attack.