ROME — Italian authorities say the operation to set the Costa Concordia cruise ship upright is set for next week, 20 months after the ship capsized near a tiny Tuscan island, killing 32 people.

National Civil Protection agency chief Franco Gabrielli told islanders on Giglio island Wednesday that crews could try to right the ship as soon as Monday. He stressed that the exact date for the operation will only be known the day before, since the final OK depends upon weather and sea conditions.

The ship will eventually be towed away and scrapped.

The Costa Concordia’s hull was gashed by a reef it struck when sailing close to Giglio’s rocky shores Jan. 13, 2012. It rapidly took on water and capsized. Its captain is being tried for manslaughter and abandoning ship.