Investigators also say some of the building's exterior materials failed safety tests. Police say they're considering manslaughter charges over the blaze, in which at least 79 people died.
London police say they are investigating an "major incident" in north London, after reports that a vehicle struck pedestrians. One person has been arrested.
"Sadly, our work will be ongoing for many, many weeks," the Metropolitan Police commander said of efforts to inspect the burned-out tower. "I also have to consider the sad reality that this may rise."
The number is expected to rise further as rescue workers continue to search for victims, an operation that could take weeks. British authorities are launching a criminal investigation.
London's Metropolitan Police say at least 12 people are dead and they expect the death toll to rise, after a massive fire engulfed most of the floors in a 24-story apartment building.
Metropolitan Police say they believe 22-year-old Youssef Zaghba, an Italian of Moroccan descent, was the third attacker in the violent rampage in London that killed at least seven people.
Counterterrorism police have released preliminary details about two of the three men who were killed by police Saturday. The London attack killed at least seven people and wounded dozens.