The first of what is expected to become a flood of lawsuits in the Costa Concordia shipwreck were filed late this week in U.S. courts seeking hundreds of millions of dollars from the Italian cruise operator and its Miami-based parent company.

Late Friday afternoon, a suit on behalf of six passengers was filed in federal court in Miami seeking $10 million in compensatory damages and $450 million in punitive damages.

“There is not one uninjured person on that ship, whether or not they have a physical scratch,” attorney Marc J. Bern said. “The anxiety, the stress for many of these people will never leave them.”

Two New York law firms—Napoli Bern Ripka Shkolnik and Proner & Proner — are working together, and Bern said the firms are representing “hundreds” of clients. Italian consumer group Codacons had said it was working with the law firms on a class-action suit, but Bern said Friday multiple suits would be filed instead.

The suit filed in Miami named Costa Cruise Lines, which has an office in Hollywood, and parent company Carnival Corp., which is headquartered in Doral.

Thursday, Peruvian crew member Gary Lobaton filed suit in Chicago federal court asking for at least $100 million in damages. That suit seeks class-action status to represent all passengers and 1,000 crew members.

Representatives for Costa and Carnival had no comment on the lawsuits.

The legal action came as Costa Crociere SpA offered 11,000 euros, or about $14,500, to 3,206 passengers who were not physically injured in the January 13 grounding and capsizing off the Tuscan coast. Costa also said it would reimburse the value of the cruise, other travel expenses and medical expenses resulting from the disaster.

The sum of the settlements would equal about $46 million, or about 12 days of projected Carnival Corp. profits for 2012.

Roberto Corbella, who represented Costa in the negotiations with consumer groups that led to the offer, told The Associated Press that the deal provides passengers with quick and “generous” restitution that with all the reimbursements could amount to about $18,500 per passenger, even nonpaying children.

But many survivors said they thought the offer was inadequate.

“To me, that’s nothing,” said Karen Camacho, a Homestead resident who feared she and her husband would die aboard the listing ship. “I don’t think that’s fair.”

Denise Saba, who was on her honeymoon with husband David, said the amount doesn’t even cover the couple’s lost possessions.

“That’s a little ridiculous,” said Saba, of Aventura. “Hopefully we don’t get any trauma in the future. But if we do, that amount of money is not enough.”

Both Camacho and Saba said they had spoken with attorneys but had not yet decided how to proceed.

The settlement offer does not apply to the crew members, the roughly 100 people who were injured, or the families of dead or missing passengers.

Sixteen bodies have already been recovered and 16 people who were on board are missing and presumed dead.

In Italy, some consumer groups have already signed on as injured parties in the criminal case against the Concordia’s captain, Francesco Schettino. He is accused of manslaughter, causing a shipwreck and abandoning the ship before all those aboard were evacuated.