MILAN - Costa Crociere SpA, the largest cruise ship brand in Europe, is facing a legal and public relations nightmare after seeing two high-profile disasters on its ships barely six weeks apart.

Costa Crociere bookings already had dipped by an estimated one-third following the Jan. 13 wreck of its Concordia cruise ship off a Tuscan island that killed as many as 32 people. The company is blaming that shipwreck on its captain, who stands accused of abandoning ship while passengers were still onboard.

Now, following an engine room fire this week that left its Allegra cruise ship drifting without power in the Indian Ocean, Costa faces an even more difficult future.

Industry experts said Costa's survival after 60 years in the passenger ship business could depend on the company changing its name or getting a bailout from its parent, U.S.-based Carnival.

Magda Antonioli, the director of the tourism Masters program at Bocconi University in Milan, said Costa must think about rebranding itself after the back-to-back disasters.

"Certainly images of the two accidents have been around the world," she said.

But many in the cruise business don't think the disasters will prove to be Costa's death knell, or even have a long-term impact on the wider cruise industry, which is experiencing phenomenal growth as the number of healthy elderly rises and more families choose cruises for intergenerational vacations.

"No, not the end for Costa, which has been operating passenger ships for over 60 years," Douglas Ward, author of the 2012 Berlitz Guide to Cruising & Cruise Ships, said. "But the relentless media spotlight may dilute the brand and perhaps the number of ships in fleet."

Costa has nearly doubled its fleet, from five to 14 ships, since 2000. Sales in 2010 rose 12 percent to $3.8 billion while the number of passengers increased 18 percent to 2.15 million.

Based in Genoa, Costa has a 7 percent global market share, the largest of Carnival's subsidiaries. With two ships now disabled by accidents, two more are scheduled for launch before the heavy summer European cruise season opens, and another is expected on the water by 2014.

Ward said the real impact would be the lost jobs among people who work on the ships, many from developing nations whose families depend on those seafaring jobs.

In Italy alone, Costa contributed $3 billion to the economy in 2010 through tourism, shipbuilding, shipboard suppliers and other related spending, according to a study by Milan Polytechnic.

Bookings on Costa dropped 30 percent after the Concordia accidents, and are down about 22 to 25 percent in the wake of the Allegra's generator fire on Feb. 27, said Roberto Corbella, president of Italy's tour operator industry group.

But he said the early estimates are not reliable and the impact on Costa bookings during the critical first quarter - when most high-season cruises are booked - will be known next week when Carnival releases its results.

"We have seen that longtime cruise-goers are unfazed, they continue to make reservations. It is the first-time cruise-goer who is waiting to reserve until they feel more confident," Corbella said.

The financial damage is still unknown. The company said it can't determine how long the Allegra will be out of service until it surveys the damage. Its next cruise, beginning March 17 has been canceled.

The Concordia has been partially submerged since Jan. 13 but no decisions have been made yet on whether it can be salvaged. The company faces dozens of lawsuits, besides paying compensation to the 4,200 people who were on board the ship.

Shares of Carnival were up 0.9 percent, or 26 cents, at $30.27 on Wednesday in the U.S. after falling earlier this week on news of the Allegra fire. The shares were trading above $35 prior to the Costa Concordia incident in mid-January, when they dropped to a near five-month low of $29.22.

Costa's real image issue is that the two accidents were so close together.

"I think the problem now for Costa is that it is too close to the Costa Concordia disaster, which is totally different from what happened to the Allegra. Engine room fires can happen. But usually they are more of an annoyance," said Teijo Niemela, the Helsinki-based editor of Cruise Business Review.

The Allegra was retrofitted in 1992 from a cargo ship built in 1969, and underwent a $16 million restyling in 2006. Newer ships, he said, have two separate engine rooms and a thick firewall to prevent fires from disabling the ship and halting the cruise.

Ironically, if Costa's response to the Allegra fire is sure-footed enough, experts said that could help dispel impressions the company has issues in training its crew. Passenger accounts from the Concordia indicated deep confusion over the seriousness of the accident and a chaotic, deadly evacuation.

"It should restore confidence that the last event was a one-off event and show that the staff is pretty well-versed in how to handle an emergency when it occurs," said Jaime Katz, an analyst at Morning Star.