A 41-year-old man has been arrested and charged with the murder of Arishma Chand.
The man, from Flatbush, will appear in the Manukau District Court tomorrow.
The 24-year-old mother of one Ms Chand was murdered in the early hours of Sunday morning.
Arishma Chand's body was found by her parents just after 1am on Sunday morning, minutes after she'd called to tell them someone was outside her Maich Rd, Manurewa home.
Police on Monday said the evidence so far points towards the killer being someone the 24-year-old knew.
"We are following a number of lines of inquiry into a number of persons that are associated with Arishma," said Det Insp Gary Lendrum of the Counties Manukau CIB.
Ms Chand's three-year-old child was with her ex-husband over the weekend, and did not witness the attack.
Insp Lendrum said police believe Ms Chand was deliberately killed because of her "obvious injuries".
He wouldn't say if there were signs a weapon was used, preferring to wait for the outcome of the post mortem.
Ms Chand went out with friends on Saturday night, including her present boyfriend. The pair returned to Ms Chand's home on Maich St around 12:45pm. The boyfriend came inside "momentarily" before leaving.
"Shortly after that Arishma rang her parents because she was concerned there may be someone outside," said Insp Lendrum.
"Her parents, who had also been out for the evening with relatives, came home about 20 minutes later and found Arishma's body in one of the bedrooms."
A number of nearby businesses are known to have CCTV cameras in operation, and police will be trawling through those in the next few days as part of their inquiries.
Ms Chand's daughter will remain with her ex-husband for now.
"She's with her dad, and because of her age I guess she doesn't realise what has really gone on, at this stage," said Insp Lendrum.
He said the extended family have all been cooperating with police.
"People that live in that Maich Rd area, I'd be really interested if they saw any vehicles they hadn't seen in the street before, or that seemed to be out of place."