Three interviews have been conducted under caution by detectives investigating the Grenfell Tower fire, Scotland Yard has said.
It is "likely" that further interviews will take place in the "coming weeks and months", it added in a statement.
The force is considering offences including "gross negligence manslaughter, corporate manslaughter and breaches of the health and safety act".
Police have previously confirmed they are examining London Fire Brigade's "stay-put" policy, under which residents were told not to leave the burning tower block.
:: Grenfell Tower: Police investigating fire brigade's 'stay-put' strategy
There have not been any arrests so far, "apart from investigations into allegations of fraud," the Met said.
Bereaved families and survivors are being kept updated.
The fire, in June of last year, killed 72 people and left hundreds homeless.
Yvette Williams, from campaign group Justice for Grenfell, said it was "positive" that police were "thinking ahead in terms of gross manslaughter charges".
But while she welcomed news of the interviews, it was "unfortunate it's taken months after it happened".
:: Grenfell tributes: Each family has a story to tell
0:41The Met said its work at the burnt out tower in west London is almost complete.
Police and experts have worked "tirelessly to ensure that every aspect of the physical examination of Grenfell Tower has been completed to the highest possible standards".
Searches have been carried out, along with "forensic examinations, digital scanning, photography and videography".
Independent experts have examined the construction of the building and its maintenance systems.
Off-site tests and reconstructions have also been conducted.
:: Video tributes to the victims of Grenfell
0:38Police expect to hand back control of the building to Kensington and Chelsea council next month.
More from Grenfell Tower
"The concerns of the bereaved, survivors and residents as well as the wider community will be central to how the handover takes place," Commander Stuart Cundy said.
"We recognise this will be a significant milestone and one that is bound to stir a range of emotions for all those affected by this tragedy."
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