Emergency services were called to the home on Ayr Road at around 1.40am on December 21.
Police say the fire is being treated as deliberate and an investigation into the indcident is underway.
Anyone with information is asked to contact police via 101, quoting incident number 0303 of December 21.
A Police Scotland spokesperson said: “Around 1.40am on Sunday, December 21, we were called to a report of a fire at a property on Ayr Road, Glasgow.
“The fire is being treated as wilful and enquiries are ongoing.
“Anyone with information that may assist our investigation should contact 101 quoting incident number 0303 of December 21, 2025.”
