Community members impacted by the Mosman Park double-murder suicide have gathered for a vigil after the deaths of the Clune family sent shockwaves around WA.

About 50 people met at Gibbon Park on Wednesday afternoon — five days after police discovered the bodies of Jarrod Clune, 50, Maiwenna Goasdoue, 49, and their two sons, Leon, 16 and Otis, 14.

The family were found dead inside their Mott Close home after a carer, who was known to the family, called authorities.

Both boys are suspected of being killed by their parents, before taking their own lives.

Mosman Park Mayor Paul Shaw, speaking at the gathering on Wednesday, said community members were trying to process the events that unfolded.

“I think there is a great deal of shock at what happened, and people are trying to process that,” he told 7NEWS.

“Events like this give people the opportunity to do that processing. “

The vigil was organised by community group Mosman Park sisterhood, who host community meals and conversations at the park every Wednesday at 5pm.

Organiser Fariba Fanaian said the sensitive nature of the incident was “impacting a lot of people”.

“This space, hopefully, will remind people that we’re here to connect and bring their community together,” she said.

Both Leon and Otis were living with autism and were non-verbal, with their sudden deaths sending shockwaves through the neurodivergent community.

It emerged on Saturday that a letter, believed to be a suicide note, found inside the home may hold crucial answers for homidice detectives working to ascertain exactly how the boys died.

The note reportedly discussed the mindset of the parents and indicated some planning behind the incident.

Reports since the incident suggested one of the boys recently had their NDIS funding cut. Friends of the family have suggested the parents were struggling to seek support for their two boys prior to taking their lives.

Cottesloe MP Sandra Brewer has since supported the State Government to force a coronial inquest into the incident.

“There is a deep sense of grief and concern across the community, and a strong desire to understand how and why this tragedy occurred,” Mrs Brewer said.

“This is a matter of profound public interest, and as a community we should know what happened prior to this incident.

“I support a coronial inquest so the community can understand what happened and consider recommendations to prevent future tragedies, and I therefore call on the Premier and Attorney-General to direct the Coroner to hold an inquest.”

Premier Roger Cook said the decision to hold an inquest sits with Coroner, despite the Cook Government and Attorney-General Tony Buti having powers under the State Coroner Act to make the Coroner do so.

The bodies of the Clune family were not found in the same location in the house, according to Detective Inspector Jessica Securo, who addressed media just hours after police shut down the quiet street.

Their family pets — two dogs and a cat — were also found dead inside the western suburbs property.

Several flowers and tributes remained in the front-yard of the Mott Close home on Wednesday.

The cause of the children’s deaths has not been made public.