Schettino faces possible multiple charges of manslaughter as well as a charge for abandoning ship when it capsized off the Tuscan coast Jan. 13, 2012, ANSA reported.
Prosecutors also sought indictment Monday against five others, including two deck officers, the helmsman and parent company Costa Crociere Marine Operations Director Roberto Ferrarini.
Schettino filed suit against Costa Crociere, alleging he was unfairly dismissed, and is writing a book he said is meant to explain how he prevented an even greater disaster, ANSA said.
Schettino has apologized for being "distracted" when the ship capsized after striking a rock while sailing close to Giglio Island to "salute" local residents, saying he was not at the command of the ship.
He recently said he would "gladly return to the helm" of another cruise liner if asked.