NSW Police are still no closer to finding who murdered 41-year-old Prabha Arun Kumar in a western Sydney park on Saturday, after checking security cameras and phone records, as well as interviewing numerous witnesses, including her employer and workmates.
The Indian national was talking on her mobile phone to her husband, who lives in India with their 10-year-old daughter, when she was stabbed in the neck.
Her husband Arun Kumar gave a lengthy statement to police yesterday, after flying into Sydney from Bangalore.
Police say phone records confirm Mr Kumar's version of events, leading up to the attack.
'My wife was a most caring and dutiful soul'
"My wife was a most caring and dutiful soul", he struggled to utter at the family's public appeal for information.
Mr Kumar said his wife told him of plans to buy a little penguin toy to send to their daughter.
"We can't bring her back, but I want whoever killed my gorgeous wife to be brought to justice".
Mrs Kumar's brother, Shankar Shetty, said the family was still coming to terms with losing his "much loved sister".
"The pain I have felt since my sister's death is unimaginable", he said. "Tragically Prahba will never see her daughter grow up".
Mr Shetty made a direct appeal to the person who committed the crime.
"You have taken my sister's life. Please step forward, get help and get your life back."
Officers from Strike Force Marcoala, established to investigate the death, said they can't identify anyone stalking Mrs Kumar or whether there may have been more than one offender.
"We are no closer to identifying a motive to this senseless attack", Detective Superintendent Mick Willing said during a media conference at the NSW Police Headquarters in Parramatta.
"We have no indication at all that this was racially motivated."
The Commander of the State Crime Command's Homicide Squad said post mortem results only showed the software engineer died as a result of being cut with a sharp instrument, but there was no evidence to suggest sexual assault or robbery.
He said checks on Mrs Kumar's background haven't provided any leads either.
Hundreds attend candlelight vigil
More than 300 mourners, mostly from western Sydney's Indian community, on Wednesday night and retraced Mrs Kumar's final steps in Parramatta.
"It just shows how deeply this has impacted on, not just the Indian community, but the community as a whole" Detective Superintendent Mick Willing said.
Police say they are now relying on information from anyone who was in the vicinity at the time of Saturday's attack.