Detectives have named a woman who was found dead in a flat in Loughborough as 42-year-old Alexis Mary Durant.
Officers launched a murder investigation after her body was found at an address in Gallico Close on Wednesday.
Police were called to the property by the ambulance service shortly after 8.10pm.
As part of ongoing inquiries, police are waiting to speak to a 30-year-old man who is receiving treatment in hospital.
Detective Chief Inspector Simon Cure, who is investigating the incident said: "I would like to speak to anyone who saw someone coming and going around Gallico Close between Monday morning and Wednesday afternoon.
"Did you see or hear anything unusual? Any information could help with our inquiries."
Anyone with information is asked to contact Leicestershire Police on 101.
