The Prime Minister said people rightfully "want answers" after a blaze ripped through the west London tower block early on Wednesday morning.
The death toll from the devastating tower block fire in west London is expected to rise as investigators trawl through the wreckage in the search for other victims.
At least 12 people perished yesterday and many more are still missing after a massive inferno tore through a London apartment block, with witnesses reporting terrified people had leapt from the 24-storey tower. Thirty were still hospitalized on Thursday, with 15 in critical condition.
Appeals are being made on social media for news of friends and family who are still missing and the Indian High Commission in London has also made an appeal on Facebook for any Indians caught up in the tragedy to make contact.
The All-Party Parliamentary Group on Fire Safety and Rescue had strongly recommended installing sprinklers and fire suppression systems in 4,000 similar tower blocks following a 2009 fire in Camberwell, but Labour MP Jim Fitzpatrick said Wednesday the government ignored the calls.
She said early Thursday that authorities have finally extinguished the last pockets of flame, and are trying to secure edges of the building for a fingertip search.
I feel very angry that it was possible for the fire to spread in the way it did.
Introducing the emergency briefing, fire minister Nick Hurd described the incident in north Kensington as a "national tragedy", adding: "I'm sure everyone's thoughts both in this room and outside are with those who have been affected, injured or have lost a loved one in the fire".
In addition, London Mayor Sadiq Khan called for an interim report on the fire to be published this summer.
Whole families remain missing after the fire which forced residents to flee through black smoke down the single stairwell, jump out of windows or even drop their children to safety.
Concerns about fire risks were brought to the attention of property managers Kensington and Chelsea Tenant Management Organisation and the owner, the Royal Borough of Kensington and Chelsea.
"As the commissioner of London Fire Brigade, I was truly anxious for a long time about the safety of the building and my firefighters in there".
They say that flaming facades on high-rise buildings is rare and of "genuine concern".
Clarkson, 57, said he donated his clothes to the victims.
Volunteers in Glasgow - 550 kilometres (350 miles) away - sent a truck laden with nappies and other supplies.
Many people are still unaccounted for with firefighters saying the operation now in the "recovery phase".
More than 1 million pounds was raised via online donations in just over 24 hours to help the displaced residents, the daily said.
Sikh gurdwaras, churches and mosques opened their doors for those left homeless.
Andre Barroso also reported seeing Muslim residents escorting others out of the building.
Some residents said the official advice was that people should stay inside in the event of a fire.