Efforts to conserve the ship and recover its precious cargo have been caught up in a complicated string of international legal disputes, with Colombia, Spain, indigenous groups in Bolivia and a US salvage company laying claim to the wreck, and the gold, silver and emeralds onboard thought to be worth as much as $17bn (£13bn).
When Colombia tried to auction off part of the bounty to fund the colossal costs of recovering the ship, Unesco and the country's high courts intervened.
But more than eight years after the find, officials now say they are pushing politics to one side and could begin lifting artefacts from the "holy grail of shipwrecks" as soon as April.
"There has been this persistent view of the galleon as a treasure trove. We want to turn the page on that," said Alhena Caicedo, the director of the Colombian Institute of Anthropology and History. "We aren't thinking about treasure.
We're thinking about how to access the historical and archeological information at the site." The San José was returning to Europe with treasures to help fund the war of the Spanish succession when it was sunk by a British squadron in 1708, close to the Caribbean port city of Cartagena.
Historians say the wreck could help reveal much about the Spanish empire at the height of its power - and the overlapping histories of Europe and Latin America.
Eventually, Caicedo's team hopes to raise the wreck itself, and put it on display in a custom-built museum where visitors will be able to explore "all the secrets of the bottom of the ocean", she said.
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