“He admits that he has taken her life, but how he did it and what he has said I can’t divulge,” said prosecutor Fredrik Jönsson to daily Aftonbladet.
Police earlier confirmed that the man had come in to the station by himself.
“He came in willingly and alone to the police station at Davidshallstorg. Now we are holding him in custody and will continue normal investigations,” said Lars-Håkan Lidholm of the police to news agency TT.
The 52-year-old woman and the 59-year-old man were in the process of separating after the demise of a relationship spanning many years. The man was resident at the central Malmö address, the home they previously shared, when the woman came to visit on Monday.
Why she was there is currently unknown to the police, who had received a call from a concerned neighbour shortly after midday.
“I heard the woman screaming from her flat. She screamed ‘ouch’ and ‘no’ in terror. So I called 112 and alerted police,” said a neighbour to daily Aftonbladet.
The woman died shortly after police arrived. A warrant for her ex-partner’s arrest was issued immediately so that police could issue a description of him internationally.
The man has long been known by police for running an illegal club near Möllevångstorget in Malmö. He has previously been charged with illegal alcohol sales and breaking Swedish laws regulating gaming machines.
According to police the man arrived at the station around 1am on Thursday morning. He has been questioned overnight and interrogations will continue over the course of Thursday.
Police are unwilling to disclose anything of what the man has said at this stage in the investigation.