A young woman has allegedly been stabbed by a man she knew, who waited outside her Melbourne home.

As police were calling for the man to hand himself in, his body was then found in the state’s far west.

Police said the 18-year-old woman was dropped home to Miller Grove in Kew at 1am today after an evening with friends and was immediately attacked by an 18-year-old man from nearby Camberwell.

The 18-year-old woman was returning from a night out with friends when she was allegedly confronted by a man outside a house on Miller Grove in Kew. (9News)

Victoria Police superintendent Wayne Cheesman said the man had waited outside in the dark.

“He approaches her in her driveway as she’s about to enter the family home, and he stabs her multiple times,” Cheesman alleged.

“Just a young girl who was minding her own business walking home in the safety of her own driveway.”

Police said the attacker fled the scene.

The woman was taken to hospital with what police initially feared were life-threatening injuries.

Police outside of the Kew home today. (9News)

She is now in a serious condition and recovering in hospital.

Her neighbours in the close-knit street were shaken and scared for the girl who is from a “very lovely family”.

“I just heard like a cry out for help,” a witness said.

9News understands it was another young woman who reported the attack to police.

Despite searches in the area early this morning, the young man could not be found.

However at the same time as officers were combing the scene, police responded to a Triple Zero call in Victoria’s west.

Officers said they found the man’s body about 360 kilometres away at Antwerp, near the SA border.

His death is not being treated as suspicious.