Celtic chief Peter Lawwell's daughter and grandaughter were inside accommodation above the garage of his home when the blaze broke out after a petrol bomb attack.
A source told the Daily Record Lawwell's daughter and her four month old baby girl have been living in a bubble with her Celtic chief dad during the pandemic and were inside the specially-developed flat in the grounds of his home when the fire took place.
It is understood that they were both removed from the scene safely.
Thugs struck in the early hours of this morning while the Parkhead power broker and his family slept.
The Celtic boss' car was petrol bombed as it sat parked in his driveway.
The car exploded and the blaze quickly spread to his luxury home on the south side of Glasgow.
Police and up to eight fire engines attended the scene and Lawwell and his family were taken to a safe location after the horrific attack.
Pictures of the aftermath of the blaze show the charred remains of the converted garage which is connected to the main house.
Melted cars are still parked in the driveway as emergency services erected a cordon around the scene.
A Scottish Fire and Rescue Service spokesperson said: “We were alerted at 1.02am on Wednesday, May 19 to reports of a car on fire outside a dwelling in Thorntonhall, Glasgow.
“Operations Control mobilised eight appliances to the scene to extinguish the fire, which was affecting a number of cars as well as the detached two-storey property.
“There are no reported casualties.
“Crews remain in attendance.”
A Police Scotland spokesperson said: “Around 1am on Wednesday, 19 May, officers were called to a report of vehicles on fire outside a house in Thorntonhall.
“No one was injured and officers are currently working with the Scottish Fire and Rescue Service to establish the cause of the fire.”