More than 1000 people have attended a vigil in Nelson for Senior Sergeant Lyn Fleming, killed after being hit by a vehicle while on patrol early on New Year's Day.

Dunedin police are investigating another smash-and-grab incident at a city store.

A woman has fallen to her death after dangling from the balcony of an apartment in Australia, leaving a man in custody as investigators examine the scene, their relationship and multiple emergency calls.

A man has been charged with murder after the death of a baby in the Hamilton suburb of Fairfield on Wednesday.

Fiji police are investigating incidents involving two Virgin Australia crew who are allegedly the victims of rape and theft in Nadi early on New Year's Day.

Police will be back at a house in the Hamilton suburb of Fairfield where neighbours say a child was killed in a New Year's homicide.