Even as the Queen of England marks her 91 years in England, tens of families are mourning the untimely ends of their loved ones in a tragic fire incident on an apartment block.

58 people are presumed dead after the devastating fire, according to London police chief, Stuart Cundy, who spoke to reporters on Saturday.

"We've worked tirelessly to establish how many people we believe were in Grenfell Tower on the night and at this point in time we are unable to say that they are safe or well.

"There are 58 people who we have been told were in Grenfell Tower on the night that are missing and therefore, sadly, I have to assume that they are dead," he said

Of the 58, he said the number of confirmed fatalities in Wednesday's inferno remains at 30.

Cundy said 16 bodies had so far been recovered from the tower and taken to a mortuary.

Police do not expect to find any survivors inside the 24-storey concrete tower, which contained 120 apartments.

On the figure of 58, he said: "I really hope it won't, but it may increase," while adding that "it might be that some of those are safe and well", and for some reason, had not yet made themselves known to the police.

"Our focus has been on those that we know were in Grenfell Tower. However, there may be other people who were in there on the night that others were not aware were there," he said.

"That is also an absolute priority for the investigation -- to establish who they may be," he added.