Allegedly drunk driver Samuel William Davidson, 29, was returning from grabbing some cash from a servo when his ute mounted the kerb and hit the group of children.
In tears, Davidson's father Allan told 9 News that the family had "effectively" lost their son. "Yesterday, I misplaced three of my children. I can feel them hugging me", she said.
Mr. Davidson will be jailed for years for his alleged crimes.
He said: "I don't know what to say. He can't believe that what's happened, happened", she said. "I forgive him, but I want it to be fair".
"We need a more serious response to driving under the influence".
Distraught members of the Oatlands community on Sunday also placed flowers at the scene, with shrines established for each of the Abdallah children.
Lebanon has pledged to investigate the death of four expat children who were killed in a Sydney suburb by a drunk driver, saying it will "clarify the truth" about the tragedy. I can't hate him at the moment.
"All I want to say is please, drivers, be careful". It's all about fairness. My kids are angels. I still don't feel that it's true. I feel they are still with me.
Abdallah siblings Sienna, 8, Angelina, 12, and Antony, 13, died at the scene in Oatlands alongside cousin Veronique Sakr, 11. "I'm still waiting for them to come home".
She added that her belief in the Bible helped her family to deal with it.
Daniel Abdallah and his wife Leila lost three of their six children on Saturday night. We have tried to focus on their spiritual side more than anything else. We loved our kids so much...
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The tragedy has been shared heavily on social media in Lebanon while Maronite churches in Sydney and beyond have prayed for the families. He was seen being taken away in handcuffs and shirtless. I'm sad and heartbroken, but I am at peace because I know my children are better.
"We are devastated by the tragic and senseless loss of our handsome girl Veronique", wrote her family.
"Words can not describe the pain we feel for all the families impacted by this tragedy".
She was in year 6 at Santa Sabina College.
"Veronique brought us all such joy and will be forever remembered".
The 11-year-old was in year 6 at Santa Sabina College. On Facebook, the school announced that it would hold a memorial service in her honor.
Mr. Davidson received a roadside breath test and reportedly came to a positive result.
The 20 charges against him were read in a Sydney court on Sunday.
His case was on Sunday heard at Parramatta Bail Court.
He did not appear in court and was refused bail until his next court appearance on April 2.