A blaze tore through the ground and first floor of a terraced house in Napier Road shortly before 8.30am on July 13 last year.
Nakash Malik, 13, his 11-year-old sister Aayat Malik and their seven-year-old brother Muhammad Hanan Malik all died.
Their parents described them as “loved beyond words”.
The London Fire Brigade is set to produce a report into the cause of the fire which will be passed on to the Met Police and other investigating agencies.
During a brief pre-inquest review hearing on Tuesday, March 25, investigators said there were no indicators of neglect in the family environment which could have contributed to the fire.
Investigators also confirmed there are no signs that the fire was started deliberately.
Coroner Nadia Persaud did not set a date for the full inquest, telling the Met Police she wants them to consider the London Fire Brigade report to assess whether there is any indication of criminal responsibility.
Ms Persaud told the children’s parents: “The inquest proceedings, because it’s inquisitorial, will not progress until I’m clear that there aren’t going to be any investigations by organisations such as the Metropolitan Police or the Health and Safety Executive.
“Once I’ve had assurance that they’ve carefully considered evidence then I’ll be able to progress proceedings.
“Please can I extend my sincere condolences to you both from the court, I’m so sorry for your loss.”
Thirteen-year-old Nakash Malik (Image: Met Police) In a statement released through the Met Police, parents Khurram Malik and Naumana Gul Khan said: “Your lives were a blessing, your memory a treasure.
“You are loved beyond words and missed beyond measure.
“May you rest in peace in God’s heaven.”
Six fire engines and around 40 firefighters were called to the fire just before 8.30am.
The Met Police said at the time that there was no evidence to indicate suspicious circumstances.
