According to Italian News, Starting on Monday, they are planning to re-float it to be towed away for scrapping - Breaking UP later this month in Genoa ONLY if the weather conditions will remain stable and compatible with the process of recovering.
The refloating of the 114,500-tonne ship gets under way using giant sponsons welded to its sides.

There is now concern that the ship may fall apart or fail to float, which would likely condemn it to the sea bed,if a single thing goes wrong, the boat will tear apart or sink whole, seriously polluting the Pelagos Sanctuary for Mediterranean Marine Mammals—the largest park of its kind in Europe—which surrounds Giglio. The waters are a haven for dolphins, porpoises, whale calves and scores of other sea creatures.

The speed of the ship will be very slow to avoid any stress to the already bad structures of the ship wreck.

Eighteen months ago the massive Costa Concordia cruise liner crashed onto the tiny island of Giglio, 12 miles off Italy's western coast. Within minutes the 950-foot vessel tipped sideways, tossing passengers into the sea. In the end, 32 people died and 64 were seriously injured.