"It will be imperative that the causes of this fire are fully investigated to determine how such terrible tragedies could be avoided in the future".
And Chancellor Philip Hammond revealed that cheap cladding believed to have been used on the tower is BANNED on high-rise buildings.
Just five of those lost have been identified since the fire tore through the block last Wednesday and police warned some are so badly burned they may never be named.
Ms Cachia added: "There were lots of people screaming in the streets that their family are inside, that they can't find them, that people are missing, they want help".
May, criticised for keeping her distance from angry residents during her visit to the charred remains of the apartment building, said on Saturday that the response to the disaster had been "not good enough".
The 1974-built concrete tower had recently been fitted with new exterior insulation cladding, which many locals blame for spreading the inferno so quickly.
Members of London's emergency services observe a minutes' silence in memory of the victims of the June 14 fire at the Grenfell Tower block, pictured on the horizon, in Kensington, west London, on June 19, 2017.More news: Cristiano Ronaldo to testify in tax fraud case on July 31
Providing an update on the situation Monday morning, police said that the death toll may rise further.
As anger continued in the wake of the disaster, described by London Mayor Sadiq Khan as a "preventable accident", the Government announced those left homeless will be given at least £5,500 from an emergency fund.
Residents in shock over the tragic Grenfell Tower Fire which is feared to have killed up to 79 people have been assured of the safety of Dartford's council housing.
At London's Grenfell Tower, flames raced with alarming speed up 24 stories of cladding in which a plastic core was sandwiched between thin sheets of aluminum. He went on to say, "The tragedy we're seeing is because of the consequences of mistakes and neglect from the politicians, the council and the government".
GRT said in a statement: "Work is taking place to assess the housing needs of all Grenfell Tower and Grenfell Walk families to identify suitable accommodation in Kensington and Chelsea and neighbouring boroughs".
The government has promised a public inquiry, and police have opened a criminal investigation.
He said the death toll could still change if anyone reported as missing was found alive, of if anyone was found in the ruined tower who had not been reported as missing.