A baby boy's previous injury will be re-investigated after he died on Saturday in Waikato's Te Kūiti.

Police say 10-month-old Mustafa Ali had suffered violent blunt-force trauma that didn't appear accidental.

They say he suffered another non-accidental injury in October.

Detective Inspector Graham Pitkethley says he's working to investigate the inconsistencies found within prior statements.

"Like anything in these tragic situations, we will go back and have a look to see if there was anything else that could have been done."

LISTEN ABOVE

• Te Kūiti baby death: 'Inconsistencies' in parents' stories - police
• 'Hysterical screaming' heard before baby's 'violent' death
• Oranga Tamariki, police investigating 'violent' death of baby
• 'Didn't do anything wrong': Father of Te Kūiti baby speaks out