The operation began on Sunday afternoon, nearly a month after the ship hit a reef and capsized off the island of Giglio.
The process had been delayed by both the search and rescue operation and bad weather, prompting fears of a leak into the protected waters off the island.
Seventeen people died when the ship capsized and 15 more are presumed dead.
Captain Francesco Schettino has been accused in Italy of manslaughter, causing a shipwreck and abandoning ship before all those aboard were evacuated.
Prosecutors in France have also launched an investigation, given that four French nationals died and two others are among the missing.
Francesco Schettino, denies wrongdoing.
Dutch salvage company Smit is conducting the operation to pump out the fuel, which is expected to take about four weeks to complete.
It will concentrate on the first of 15 tanks that are believed to hold around 84% of the fuel on board, the AP news agency quoted Italy’s civil protection department as saying.
Valves will be fixed to the tanks, allowing oil to be pumped through a hose on to a crane barge alongside the vessel. From there the oil will be transferred to a waiting oil tanker.
As oil is removed, water will be forced in via a second hose to fill the vacuum.
President Joe Biden has urged pro-Palestinian protesters on university campuses to uphold the rule of…
Blue Ivy Carter has joined the voice cast of The Lion King prequel Mufasa: The…
At least five people, including a four-month-old baby, have been killed after dozens of tornadoes…
Harvey Weinstein has been hospitalized just days after his 2020 rape conviction in New York…
Hamas has published a video showing the first proof of life of US and Israeli…
Prosecutors and Donald Trump’s attorneys delivered opening statements and the first witness was called on…