The trawler was met by a bus and cars, but port officials kept media and other onlookers at a distance. Police have said that once the condition of the crew has been assessed they hope to speak to them about what happened, with the help of interpreters.
An analysis of exactly what caused the sinking is not expected to be available until the information from the crew has been collated over several days.
A press conference is due to be held about 10am, a source at the port said.
The cause of the sinking has not yet been disclosed, but three bodies of Indonesian crewmen have been recovered and another three people - including the ship's Korean captain - are still missing and presumed drowned.
The captain was named by the Joongang Daily in Korea as Shin Hyeon-gi, 42, and the two missing crewmen are reported to be Indonesian.
The 82m 1599-tonne Oyang 70 carried 51 officers and crew when it sank, and the survivors, seven Koreans, 31 Indonesians, six Filipinos and one Chinese - were rescued from five of the ship's six life rafts.
Initial reports that the vessel had capsized in good weather were "extremely disturbing" according to the Maritime Union of New Zealand general secretary Joe Fleetwood.
Registered on the Korean Shipping Registry, the 38 year-old vessel was owned by Sajo Oyang Corp, and has operated in New Zealand waters since the 1980s under charter to New Zealand-based company Southern Storm Ltd.
Talley's fishing company Nelson branch chief executive, Tony Hazlett has praised the crew of his company's Amaltal Atlantis ship, for their work in rescuing the survivors.
The Amaltal Atlantis was at the site of the sinking 30 minutes after receiving the mayday call early on Wednesday morning. The vessel was reported to have been hauling in a net full of fish when it capsized and sank about 4.30am.
