The refloating project has been a massive underwater effort that will take at least six or seven days. The liner has been helped to the surface by a second skin -- its hull covered on each side with at least 30 pontoons.
Monday morning, off the coast of Italy's Giglio Island -- where the liner first sank in 2012, killing 32 people -- pressurized air was pumped into the pontoons, displacing the water and once again offering the ship buoyancy.
"The boat is now floating with its sponsons attached," Franco Porcellacchia, the engineer in charge of the $1.2 billion operation, told reporters on Monday. "The ship is upright and is not listing either longitudinally or latitudinally."
Once fully floated, the ship will be hauled 191 nautical miles -- through portions of open sea and a marine sanctuary -- to Genoa, where it will be disassembled and scrapped. The ship was lifted and raised onto a steel bed last September.
"As with anything being done for the first time, there are risks. But we are confident," Porcellacchia said.
And though its initial reemergence is an impressive feat for involved engineers, it's still a somber occurrence. Once the ship is moved, the search for the body of Indian waiter Russel Rebello -- the only victim whose remains have not yet been found -- will begin in earnest.
Ship captain Francesco Schettino is currently on trial for manslaughter and dereliction of duty.
Celebrity Couples of 2014 [PHOTOS]