London's Metropolitan Police said Zaghba had not been on their radar before Saturday, despite the Italian warning.
France said earlier on Wednesday that two of its citizens had died when three men drove a van into pedestrians on the bridge before going on a stabbing spree in the nearby Borough Market.
Among those radicalized by Muhajiroun were the suicide bombers who killed 52 people on London's public transport system in July 2005, and the men who murdered soldier Lee Rigby in the capital in 2013.
She said she had been separated from Redouane for six months.
The 30-year-old was held on suspicion of the commission, preparation or instigation of terrorist acts during a search of a property in Ilford and taken for questioning at a south London police station, Scotland Yard said.
ROME Italian police followed the correct procedures in flagging one of the London attackers to their British counterparts, Italy's senior policeman said on Wednesday, but he understands why the warning went unheeded.
Police said earlier that witness accounts suggested he might have been thrown into the river.
His sister Nathalie Cros Brohan said: "The silence and waiting without news of him, is awful". Find us on Facebook too! "But there weren't elements of proof that he was a terrorist. The more time that passes, the more we fear the worst and our hope diminishes".
The families of Mr Thomas and his girlfriend are being supported and updated by family liaison officers.
Nearly 50 people were injured when three attackers drove into crowds in central London before going on a stabbing spree.
The Spanish Ministry told the BBC that Ignacio Echeverria, 39, who tried to defend a woman, was also killed. He changed, she said, when he went to Britain about a year ago and was seduced by radical views propagated on the internet. Also to give a message to the victims' families and non-Muslims. "London black cabs getting people home safe tonight often not charging". "My mother is suffering".
She told Sky News that her final conversation with him was last Thursday, and he seemed sad.
She added that police told her they were unable to formally identify him until the coroner's report is released.
Asked to comment on Wednesday's attacks in Iran, Zarif said: "These attacks will strengthen the people's stance against terrorism". Collina lives near the northern city of Bologna.
She said: "My thoughts and efforts now are with trying to bring up my daughter with the knowledge that someday I will have to try and explain to her why her father did what he did".
The former wife of one of the London Bridge attackers says she is "deeply shocked, saddened and numbed" by her ex-partner's actions.
In the United Kingdom, the police are constrained by a formal process for identifying fatal victims of crimes that is meant to prevent errors.
The visible police presence remains, however - as does the memory of the attack in the minds of British voters, just one day before the country undertakes its national elections.
This is what we know about the attackers so far.
The fact numerous victims were global is thought to have added to the challenge.
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