Maya was killed by drug-user and domestic abuser Michael Daymond, who had started a relationship with her mother. He was later jailed for life.
The toddler’s mother Dana Carr, who had ignored weeks of “torture” waged on her child by Daymond, was jailed for nine years for allowing her death.
The girl’s wider family said she would “still be alive today” if laws disclosing a parent or a caregiver’s history had been in place.
Rachael Walls, Maya’s great aunt, said the family want to create a legacy for her by campaigning on the issue.
She said: “It’s just keeping positive memories of Maya in your head and making sure we keep her memory alive.”
The debate in Parliament will be led by Sunderland Central Labour MP Lewis Atkinson.
In response to the petition calling for the introduction of Maya’s Law, the government said: “We are delivering significant reform across children’s social care, policing and the family court system to better safeguard children and stop them falling through the cracks of services.”
