The raising of the Costa Concordia is not due to be finished today.
The operation is expected to run beyond midnight local time.
It was initially estimated that the project would take 12 hours, but the salvage team are thought to be happy if it takes between 15 and 18 hours.
However, the weather is due to deteriorate from 10pm local time.
The operation to salvage the Costa Concordia is halfway through the first phase and is continuing smoothly.
The shipwrecked ship has now completed 10 degrees of rotation and is totally off the rocks.
The second phase will prove far trickier as this is when the tanks are filled with water to sit on the false seabed.
The process to right the Costa Concordia is known as parbuckling, a technical term for rotating a sunken vessel back into an upright position.
The operation involves engineers using jacks and steel pulleys to rotate the ship by 65 degrees.
Hollow metal boxes, which have been welded to the side of the ship, will be filled with water to help bring the Costa Concordia upright.
Once it is upright, engineers hope to attach an equal number of tanks filled with water on the other side to balance the ship.
The ship will eventually rest on a false seabed around 30 metres underwater, made out of a platform and cement-filled sandbags
Giglio islanders have turned out to watch the removal of the shipwrecked Costa Concordia from their shoreline, almost two years after it capsized there.
It is now possible to see a few feet of rust on the Costa Concordia indicating how much she has already risen.
Everything going exactly as the engineers expected on the Costa Concordia. No signs of spillage or pollution in the water nearby.
The Costa Concordia has been worked free of the rocks. It is no longer stuck.
There is no sign of either of the bodies still missing on the ship. They are not between the seabed and the hull. It is too early to say that they are not outside the ship.
Robotic cameras will be sending images back in the next few hours and the team hopes they will learn more then on the location of the missing bodies.
Experts fear the operation to salvage the stricken Costa Concordia could pollute the water as rotting food and chemicals seep out.
According to the Daily Telegraph, onboard the capsized ship there is:
- More than 24,000lbs of fish
- Nearly 5,500lbs of cheese
- 1,500 gallons of ice cream in tubs
- 24,000lbs of pasta
- 2,000lbs of onions
- More than 2,000 pots of jam
- Nearly 17,000 tea bags
- 17,000lbs of raw beef
- Nearly 11,000 eggs
- 2,346 hot dog buns
- 815lbs of rabbit meat
- More than 1,000 gallons of milk
- 18,000 bottles of wine
- 22,000 cans of Coca-Cola
- 1,000 bottles of extra virgin olive oil
- 46,000 miniature bottles of spirits
Julian Druker, a reporter for 5 News, tweeted from Italy where he is watching the Costa Concordia being lifted:
Engineering teams have begun lifting the shipwrecked Costa Concordia but "visually it will take some time" to see any difference.
Sergio Girotto, project manager for the Italian salvage firm Micoperi, said: "The inclination is progressive and of course after each step we'll carry out controls both underwater and via our cameras and we'll monitor the behaviour and the angle of the ship, which should start moving.
"Visually it will take some time before you'll see a difference but nonetheless the operation has started and everything is going well."