She said the terms of reference of a public inquiry into the blaze were being drafted, and the government had now contacted all local authorities in England asking them to identify any safety concerns in light of the tragedy.
Cundy warned that the toll of 79 people could change.
"Equally, there may be people who thankfully may have managed to escape the fire and for whatever reason have not let their family or friends or police know", he said. The investigation will include areas such as the construction, renovation and maintenance of the building and fire safety procedures, he said.
"Until we do that, we can not look at anything other than staying with the same advice".
Of those injured in the fire, 18 people remain in hospitals across London, nine of them in critical care.
While emergency services have been widely praised for their handling of the disaster, the government has been criticized for a slow and inadequate response, with Prime Minister Theresa May facing public anger for failing to meet residents during her first visit to the site.
The remnants of an exercise bike, an oven and washing machine point to the lives of residents in the moments before the blaze.
I want you hired: Trump calls for a nation of apprentices
President Trump also chaired a workforce roundtable at WCTC. "I love the name apprentice", the president declared in Wisconsin. On Thursday, Congresswoman Rosa Delauro released a statement regarding President Trump's executive order on apprenticeships.
Kenya Moore shares photos of mystery wedding
Leakes also warned on Twitter , in which she first teased her "The Real Housewives of Atlanta" return, that "the threat is back". Her husband opted for a more casual wedding look, pairing a white button-down shirt with khaki-colored trousers .
Scalise Upgraded to 'Serious' Condition After Another Surgery
The shooter was an IL man, James Hodgkinson, who had lashed out against President Donald Trump and Republicans over social media. The American Hospital Association defines "critical" condition as: "Vital signs are unstable and not within normal limits".
Aaron Judge Crushes 495-foot Homer in Yankees' Win
Montgomery gave up three earned runs and three hits in five innings to the Orioles last time he faced the team. Verdict: Tough battle for JC with Sabathia getting the edge the way he's been pitching as of late.