Officers are following a "definite line of inquiry" in relation to the 48-year-old's death in Baillieston, Glasgow.
Police, who were called to the property in Barrachnie Crescent at about 8.20pm on Friday, are treating the death as murder after a post-mortem examination was carried out.
A Police Scotland spokeswoman said: "Police inquiries are continuing into the death of a 48-year-old woman within a house in Barrachnie Crescent in Baillieston on Friday September 20.
"A post-mortem examination has been carried out and the death is being treated as murder.
"Police are following a definite line of inquiry."