An operation to remove millions of gallons of fuel from the ship was suspended over the weekend because of bad weather. Conditions also stalled recovery efforts.
Video captured by divers shows a modern-day Titanic - mattresses, clothes and dishes caught in a net and on the sea floor.
The Costa Concordia hit a reef Jan. 13 when the captain deviated from his planned route, creating a huge gash that capsized the ship. More than 4,200 people were on board.
Seventeen people are confirmed dead and 16 others remain missing.
Experts have said it would take 28 days to remove fuel from 15 tanks accounting for more than 80 percent of all fuel on board the ship.
Only once the fuel is removed can work begin on removing the ship, either floating it in one piece or cutting it up and towing it away as a wreck.
The Associated Press contributed to this story.