Costa Crociere SpA about making a significant equity investment in the company.

No agreement has been reached, and the talks can be called off by either party without penalty, the company said.

Miami-based Royal Caribbean operates primarily in the Caribbean, Mexico and Alaska. Its vessel, Song of America is a weekly caller to Bermuda in the summer. Genoa, Italy-based Costa Crociere runs cruise ships in the Mediterranean, Northern Europe, South America and the Caribbean.