Firefighters are still searching for victims in the 24-story Grenfell Tower that went up in flames early Wednesday.
Police have confirmed at least 30 people are dead and dozens more are injured.
Cundy said that because the fire was so powerful there was "a risk that sadly we may not be able to identify everybody".
Asked Thursday whether the death toll might exceed 100, Cundy said "I'd like to hope that it isn't going to be triple figures".
Thirty-seven people are still receiving treatment in hospitals across London, with 17 still in a critical condition.
Demonstrators pushed their way through an automatic door shouting 'We want justice!' and 'Killers!' as they clashed with security guards in the lobby.
Theresa May made a low-key visit to the scene in north Kensington yesterday.
A young Syrian refugee was identified on Thursday as one of the first victims of the huge fire which gutted the apartment block in west London earlier this week.
Alhajali was with his older brother, Omar, in the flat but lost each other on the way out, said the Syria Solidarity Campaign. He had not seen his family for four years.
"Mohammed undertook a unsafe journey to flee war and death in Syria, only to meet it here in the United Kingdom, in his own home. Mohammed came to this country for safety and the United Kingdom failed to protect him".
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London Mayor Sadiq Khan said people were frustrated by the lack of information about the missing and the dead as well as a lack of coordination between support services. I know it's upsetting, I know you're angry, we'll get that answered. "There are obvious questions about value for money and other questions that will be raised and other questions that demand answers".
Dr Smith said he put out a further five proposals last month to further tighten safety on high-rises.
"It's come over very strongly how good the community has been to help", the queen said. Instead they released a statement promising to rehouse as many people locally as they could.
Six bodies have been recovered from what remains of the 24-storey building, with a further 11 known to be located inside that can not yet be removed.
"There are thousands of tower blocks around our country. You have to be prepared to receive people's emotions, and not be so frightened about people".
On the night of the blaze, Choucair had not been at home, but rushed back to find the building alight after a friend inside had called, begging for help.
Residents had long complained about fire safety risks at Grenfell Tower during a refurbishment project completed previous year, but said their concerns went unheeded.
Whole families are said to be among the missing, including Bassem Choukeir, his wife Nadia, her mother Sariyya and the couple's three daughters Mirna, Fatmeh and Zaynab.
Specially trained dogs are being sent in to look for victims.
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