Police are working with overseas authorities to try and identify the dead woman.
Here's what police say.
A Korean official told Newshub "the fugitive consented to the extradition to New Zealand".
Craig McKelvie died in hospital on Friday night after he was assaulted at a property in Lower Hutt.
Police said Craig McKelvie, 52, of Wellington died after being seriously assaulted.
Police were called to the incident at an address in the suburb of Moera.
"We don't know the truth behind the scene. But no one is wrong enough to be murdered."
A 57-year-old man died after being a victim of a serious assault in Tāneatua.
Here's what we know.