Australia's Prime Minister Malcolm Turnbull confirmed on Sunday that at least one victim of the London attacks was an Australian national with reports about a second national wounded in the incident now being checked.
Ireland's Minister for Foreign Affairs and Trade Charles Flanagan said: "For the second time in two weeks, the ordinary people of the United Kingdom have been subjected to cowardly and barbaric attacks".
Meanwhile, further details have emerged of the attack which saw three men smash a van into crowds across London Bridge just after 10pm on Saturday.
Britain's general election will go ahead on Thursday, Prime Minister Theresa May said on Sunday after a auto and stabbing attack in central London left at least seven people dead and 48 wounded.
Bartender Alex Martinez said he hid in a garbage bin for a half hour when a man stormed the almost full restaurant where he worked.
"We got through the cordons, we got locked into the hotel and the police rushed in and told everyone to get out", she added.
She said: "Since the emergence of the threats from Islamist inspired terrorism, our country has made significant progress in disrupting plots and protecting the public". She will chair a meeting of the Government's Cobra emergency committee on Sunday, No 10 said.
A woman from Belfast has described how she and her 12-year-old son had to flee their hotel during the terror incident in London which killed seven people.
"Then we heard three gunshots, definitely gunshots, and we ran".
Media reports said police carried out three controlled explosions during the night.
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The attack that took place at London Bridge and Borough Market comes just days ahead of the general election on June 8. And that's what we've tried to do with our attack, is offer ourselves options", he said.
Observers said the attacks may cast shadow on the upcoming general election, scheduled for June 8, as people become more concerned with security than other issues. "They were scared. The police were scared", he said.
Photographer Gabriele Sciotto said he was on his way home from a pub when he saw a man running toward him telling him to turn around and run because there was an attack.
May said that while the recent attacks are not connected, they are all bound by the "single evil ideology" that says Western values are incompatible with Islam, adding that the "perpetrators are inspired to attack.by copying one another".
"There were five or six people that we tried to help, they were young people". Another eyewitness, Mark Roberts, told CNN that one person was hit "about 20 feet in the air".
In March, a British terrorist ran down people with a vehicle on Westminster Bridge, killing four, then stabbed a policeman to death outside Parliament.
The startling revelation raises questions over the official terror threat level being lowered to "severe" after being briefly raised following the Manchester blast. She noticed people running in her direction and "assumed there was a stabbing".
Parts of the city remain in lock-down following the pair of attacks.
The terror group's weekly Al Naba mag contained an article praising last month's attack on the Manchester Arena.
She tweeted: "Praying for London".