Jeanette Moss.

Jeanette Moss.

Homicide detectives believe a Middle Park grandmother with "everything to live for" may have been murdered in her bayside home by somebody she knew.

Jeanette Moss, 69, was found dead in her two-bedroom Beaconsfield Parade apartment about 10.45am on Wednesday by a neighbour who had a key.

The front door was locked, police do not believe anything had been taken from the apartment and there were no obvious signs of a struggle, Detective Inspector John Potter said.

"It's a possibility Mrs Moss knew her killer given the security arrangements at the apartment block," he said.  "It's possible that she let somebody in."

Mrs Moss was last seen shopping on Tuesday morning, driving her 1997 Green BMW sedan.

"We believe she was killed sometime between Tuesday and Wednesday morning, when she was discovered," Inspector Potter said.

Police have spoken with residents of Mrs Moss' apartment building, but have exhausted initial avenues of inquiry with no suspects identified, Inspector Potter said.

Closed circuit television footage gathered around the area has also failed to turn up any leads.

Inspector Potter said Mrs Moss' cause of death had led police to believe she was killed.  He confirmed she had sustained injuries, but would not comment further on the circumstances of her death.

Mrs Moss has lived alone at the apartment since about 1999 when she became a widow.

She left behind an adult son and daughter and four grandchildren.

At the time of her death Mrs Moss, a social member of the bayside community, had been preparing for her 70th birthday party.

"She certainly was a popular character and enjoyed life," Inspector Potter said.  "She clearly had everything to live for."

He said Mrs Moss' family were "distraught" and seeking answers about what happened to her.

Police have set up an information caravan outside Ms Moss' home – 189 Beaconsfield Parade, near Wright Street – from 11.30am until 6.30pm in the hope that someone may give them some information.

Anyone with information about Mrs Moss' whereabouts on Tuesday or Wednesday or anyone who saw somebody behaving suspiciously near her apartment is asked to phone Crime Stoppers on 1800 333 000 or visit www.crimestoppers.com.au.

- With Caroline Zielinski