Officers say they are following a "definite line of inquiry" in relation to the 48-year-old's death in Barrachnie Crescent, Baillieston.
Police were called to the property at 8.20pm on Friday.
The name of the victim has not yet been revealed and no details have been given of how she died.
A spokeswoman said: "Inquiries are continuing into the death of a 48-year-old woman on September 20.
"A post-mortem has been carried out and the death is being treated as murder."