Flinders Street car attack: Two people still critical five days after Melbourne incident

Two men are still fighting for life after last week's Flinders Street car attack on pedestrians in Melbourne's CBD.

Two men are still fighting for life after last week's Flinders Street car attack in Melbourne. (AAP)

Two men are still fighting for life after a car mowed down pedestrians on Flinders Street in Melbourne's CBD.

Twenty people were hospitalised, including alleged driver Saeed Noori and the off duty police officer who arrested him, when a white 4WD ploughed through a group of pedestrians crossing Flinders Street on 21 December.

An 83-year-old Brunswick man and two South Korean men in their 60s were initially listed as critical but one has since improved, police say.

All up, eight pedestrians remain in hospital nearly a week after the horrifying evening peak hour incident.

Noori, an Afghan refugee and Australian citizen with a history of drug and mental health problems, has been charged with 18 counts of attempted murder and one of conduct endangering life.

Police allege he acted with "the intention of killing or causing serious injury".

Noori appeared in court on Saturday and was remanded in custody to reappear on Wednesday.