A woman has died and a child injured in an assault in south-east Melbourne, with police arresting a man also found with injuries.

The three people were found with serious injuries, including a woman with critical wounds at a property in Springvalley Way, Narre Warren South property about 1pm on Monday.

The woman later died in hospital, police said.

AAP understands one of those injured was a three-year-old child, who is now in a stable condition.

They were taken to hospital, along with the man who was arrested at the scene after he too suffered serious injuries.

He remains under police guard.

Authorities are not looking for anyone else over the incident and the investigation is ongoing.

#BREAKING #UPDATE: A woman is dead and three people are seriously injured, including a child, following a vicious assault inside a Narre Warren home. @_StephAnderson #9News

Stay up to date: https://t.co/NRE56yYrL9 pic.twitter.com/rcBPp906KL

— 9News Melbourne (@9NewsMelb) November 30, 2020

1800 RESPECT (1800 737 732)

Lifeline 13 11 14