ROME Divers searching the submerged wreck of the Costa Concordia cruise ship have found the remains of one of the two people still missing from the 2012 disaster.

The Italian commissioner in charge of the Concordia cleanup said the remains are believed to be those of Russel Rebello, an Indian waiter. They were found Tuesday on the third deck.

Civil Protection chief Franco Gabrielli told reporters he had immediately notified the victims' relatives, who had traveled to the island in hopes their loved ones' remains could be found.

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Thirty-two people died when the Concordia slammed into a reef off the Tuscan island of Giglio and capsized on Jan. 13, 2012. The bodies of Rebello and an Italian woman, Maria Grazia Trecarichi, were not recovered.

In late September, divers found human remains near the wreck, and DNA tests are pending to determine whether it is the body of Trecarichi.

Divers have been able to access areas of the ship that were previously off-limits following the massive operation to right it last month.

Officials said their priority was to locate the remaining two bodies.

The Concordia's captain, Francesco Schettino, is on trial for alleged manslaughter, causing the shipwreck and abandoning ship during a confused and delayed evacuation.

Prosecutors contend he deliberately went off the route, bringing the ship too close to Giglio's rocky coastline at night. The captain, who is facing up to 20 years in prison, contends that the reef wasn't on the ship's nautical charts and that his subordinates failed to follow his orders.

The ship will remain in its current position until an evaluation is carried out of the condition of its starboard side and a decision is taken as to what further needs to be done before it can be refloated, CBS News' Sabina Castelfranco reports.

Authorities say the earliest it will leave the island is May of 2014.