Sandor Feher's body was found inside the wreck, and identified by his mother who traveled to the Italian city of Grosetto, according to Hungary's foreign ministry.
The $450 million Costa Concordia cruise ship was carrying more than 4,200 passengers and crew when it slammed into a reef Friday off the tiny Italian island of Giglio after the captain made an unauthorized maneuver. The death toll stands at 11, with 22 people still missing.
Italian rescue workers suspended operations Wednesday after the cruise ship shifted slightly on the rocks near the Tuscan coast, creating deep concerns about the safety of divers and firefighters searching for the missing.
Jozsef Balog, a pianist working with Feher on the ship, told the Blikk newspaper that Feher was wearing a lifejacket when he decided to return to his cabin to pack his violin. Feher was last seen on deck en route to the area where he was supposed to board a lifeboat.
According to Balog, Feher helped put lifejackets on several crying children before returning to his cabin.
Italian authorities earlier released the names of 24 passengers and 4 crew still missing, a list that includes six bodies which have been pulled from the ship since Monday. The missing included 13 Germans, six Italians, four French, two Americans and one person each from Hungary, India and Peru.
Instruments attached to the ship detected the movements early Wednesday even though firefighters who spent the night searching the area above water for the missing could not detect any movement.
"As a precautionary measure, we stopped the operations this morning, in order to verify the data we retrieved from our detectors, and understand if there actually was a movement, and if there has been one, how big this was," said Coast Guard Cmdr. Filippo Marini.
By late afternoon, officials still did not have enough data to reassure them that the ship had stopped resettling. The latest victims were discovered after navy divers exploded holes in the hull of the ship to allow easier access.
Premier Mario Monti offered his first comment on the disaster Wednesday, telling a press conference in London that it "could and should" have been avoided.
Monti also thanked the residents of Giglio, which has a wintertime population of about 900, for opening their doors to the 4,200 refugees who struggled ashore with nothing and were given clothes, food and shelter.
And he acknowledged concerns about the 500,000 gallons of fuel still aboard the ship.
"Everybody can be assured that the Italian authorities are both taking care of the prevention and limitation of any environmental negative implications of this accident, as well as in the first place providing all the necessary help to those affected."
Passengers were still making their way home, with consistent claims that crew members were ill-prepared to handle an emergency evacuation.
"The crew members had no specialized training -- the security man doubled as the cook and bartender, so obviously they did not know what to do," passenger Claudia Fehlandt told Chile's Channel 7 television after being embraced by relatives at Santiago's airport.
"In fact, the lifeboats, even the ones that did get lowered, they did not know how to lower them and they cut the ropes with axes," she said.
Much of the focus has been on the cruise ship captain's actions.
In a dramatic phone conversation released Tuesday, a coast guard official was heard ordering Capt. Francesco Schettino, who had abandoned the ship with his first officers, back on board to oversee the evacuation. But Schettino resisted, saying it was too dark and the ship was tipping dangerously.
"You go on board! Is that clear? Do you hear me?" the Coast Guard officer shouted as the Schettino sat safe in a life raft and frantic passengers struggled to escape after the ship rammed into a reef off the Tuscan coast. "It is an order. Don't make any more excuses. You have declared 'Abandon ship.' Now I am in charge."
The officer confronted him with an expletive-laced order to get back on board, which has quickly entered the Italian lexicon. The four-word phrase has become a Twitter hashtag and Italian media have shown photos of T-shirts bearing the command.
Schettino, later in the same exchange, denied having abandoned the ship, replying that he had tripped and fell.
"I did not abandon a ship with 100 people on board, the ship suddenly listed and we were thrown into the water," Schettino said, according to a transcript published Wednesday in the Corriere della Sera paper.
Jailed since the accident, Schettino appeared Tuesday before a judge in Grosseto, where he was questioned for three hours. The judge ordered him held under house arrest -- a decision that federal prosecutors are planning to challenge.
Schettino's lawyer, Bruno Leporatti, told a news conference Wednesday in Grosetto that house arrest made sense given there was no evidence the captain intended to flee. He cited the fact that the captain coordinated the evacuation from the shore after leaving the ship.
"He never left the scene," Leporatti said. "There has never been a danger of flight."
Leporatti added the captain was upset by the accident, contrary to depictions in the Italian media that he did not appear to show regret.
"He is a deeply shaken man, not only for the loss of his ship, which for a captain is a grave thing, but above all for what happened and the loss of human life," the lawyer said.
Criminal charges including manslaughter and abandoning ship are expected to be filed by prosecutors in coming days. Schettino faces a possible 12 years in prison if convicted of the abandoning ship charge alone.
Barry reported from Milan.