Italian crews resumed search-and-rescue efforts on the partly-sunken Costa Concordia on Sunday after halting overnight because the cruise liner was moving, authorities said.
The efforts resumed in the part of the vessel that is above water, said Francesca Maffino, a spokeswoman for the head of civil protection.
A 12th body was found within the ship Saturday afternoon, according to Italian authorities, with at least 20 people still missing since it ran aground off the island of Giglio on January 13.
The body of a woman wearing a life jacket was discovered in an area of the ship that was under water, Maffini said.
A committee comprising the parties involved in the rescue told a briefing for reporters and residents on the island that search and rescue efforts will continue - but that the environmental risk is also becoming urgent.
Officials said they cannot predict how long it will take to clear the wreckage, since that depends on maritime conditions and technical difficulties, but all legal, environmental and human factors will be taken into account.
"It's time for Italy to show it can do something right and do it well," Gabrielli said.
Gabrielli, who leads Italy's civil protection agency, warned that the task ahead was complicated and daunting, not least because it takes about 45 minutes to search each cabin, using special cameras and divers.
The giant Costa Concordia had 1,500 cabins on board.