The $6.5 million centre is partly funded by New Zealand's Defence Force and Ministry of Foreign Affairs.
Researchers say the inhabitants of Easter Island, or Rapa Nui, demonstrated rich traditional knowledge.
"This is a tangible demonstration of New Zealand's commitment to Fiji," Luxon said.
Samoan is the third-most-spoken language in Aotearoa.
"The landslide is still active - as people are digging through the rocks, more is still coming down."
As many as 2000 people are feared to be buried.
An official from the country's national disaster centre warned it caused "major destruction".
"They would have died of hunger and thirst if they had not been found."
The quake was at a depth of 111 km.
