The cause of her death has not yet been determined. The woman's identity was confirmed with the help of her tattoos.
"Determining the cause of death is always critical in a murder investigation," Police detective Thord Haraldsson told Swedish Radio News.
The mother of two disappeared from her flat in Trollhättan on June 30th. Police found a large amount of blood in the flat.
A 35-year-old man is being held in police custody in Poland while two other men have been detained in Sweden.