On Friday, grief over the disaster turned into anger as protesters took to the streets to vent over the fire which killed at least 30, with dozens more deaths feared.
The Grenfell Tower housed about 600 people in 120 apartments.
Cundy added that the figure could change.
The official death toll from the blaze now sits at 30, up from 17 overnight, as firefighters continue the extremely hard process of recovering bodies from within the tower.
Of the 58, he said the number of confirmed fatalities in Wednesday's inferno remains at 30.
British Prime Minister Theresa May will meet with survivors of the London high-rise fire at her Downing Street office.
Hundreds of people, including singer and human rights campaigner Lily Allen, were protesting outside, holding up signs saying "Justice for Grenfell".
"I'm like, God help these people", said Choucair, 42, who had lived with her family in the 24-storey Grenfell Tower for just over a year.
Experts say the cladding and the insulation it contained seems to have spread the flames quickly along the exterior of the building, overwhelming safety devices like fire doors.
Harley Facades, which fitted the panels, said in a statement: "At this time, we are not aware of any link between the fire and the exterior cladding".
She then went to visit victims in the church where Corbyn was pictured hugging crying victims.
May, who had been criticized for meeting with rescue workers but not with victims, returned to the area where the fire took place, and announced a government fund to pay for emergency supplies, food, clothes, and other costs.
She promised residents would be rehoused within three weeks, and rejected accusations that the government failed to act on recommendations to tighten fire regulations after a fatal block fire in London in 2009.
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"She should have been there with the residents".
The Prime Minister said there had been "huge frustrations" on the ground as people struggled to find information.
"I am urging any families or individuals who have been affected and who have not come forward, for whatever reason, to please come to the Westway Centre so that we can help".
"It really devastated me", he said.
Two boys inspect pictures of the missing.
'The residents of Grenfell Tower, families who have lost loved ones, and the emergency services who have been working so hard to help them have been through some of the most harrowing and traumatic experiences imaginable, ' Theresa May said.
Kensington Town Hall Grenfell Tower protest: People chant "Shame on you!". "You have to be prepared to receive people's emotions, and not be so frightened about people", former Conservative cabinet minister Michael Portillo told the BBC.
"This is an absolutely bad fire that took place".
"Put to the test, the United Kingdom has been resolute in the face of adversity", Elizabeth said.
Such a direct message from the monarch is rare and indicated the extent of the turmoil in Britain.
May also said that a public inquiry that is looking into the Grenfell Fire will report directly to her and that she has asked for daily updates from the neighbourhood to be sent to her.
The government is carrying out an "urgent inspection" of roughly 2,500 similar tower blocks across the country to assess their safety.
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