Donations have poured in for families of the people who died in the Bourke Street massacre, with $686,000 given since the fund was opened on Sunday.
The fund started with $200,000 from the Victorian and federal governments, with the money destined to help the families of those who died.
Twenty people are still in hospital on Tuesday after a man drove into crowds on Bourke St on Friday, killing five people and injuring more than 30.
Two are still critical, including new mum Nethra Krishnamurthy.
James 'Jimmy' Gargasoulas, 26, was charged with five counts of murder on Monday, and police say he is likely to face more charges.
A private funeral for three-month-old Zachary Matthew-Bryant was held on Tuesday morning.
Matthew and Nawwar Bryant said their "most beautiful, loving, happy and perfect little baby" was the light of their lives before the car struck him and injured their two-year-old daughter, Zara.
"Our beautiful Zara is in a stable condition, however Zachary, our son, did not survive," they said in a statement on Monday night.
"He leaves us with the best three months and 14 days of wonderful memories spent in this world.
"Zac, Mummy and Daddy love you very much, and always will."
A private funeral for Thalia Hakin, 10, will be held on Wednesday morning.
Matthew Si, 33, Jess Mudie, 22, and a unnamed Japanese national, 25, also died after being struck.
Prime Minister Malcolm Turnbull spoke with Japanese Prime Minister Shinzo Abe over the phone on Monday night, and offered his condolences over the man's death.
A vigil at Federation Square on Monday night brought thousands of people together to grieve.
Law student Henry Dow read from a Facebook post he wrote about being in the mall and seeing people immediately help the injured.
""There was no evil on Bourke street yesterday; one sick young man did a terrible thing, and hundreds responded with the love and sense of community that makes Melbourne such a beautiful city," Mr Dow told the crowd.
Gargasoulas' case is due to return to court on August 1 for a special mention.
The brief of evidence is due to served on Gargasoulas' lawyers by October 20.