Survivors indicated their fellow migrants came from Nigeria, Ivory Coast, Gambia and Sudan, Di Giacomo said.
Italian President Sergio Mattarella, who has urged that the government show more compassion for migrants, expressed his "deep sorrow for the tragedy that has taken place in the Mediterranean."Premier Giuseppe Conte told reporters he was "shocked" at the reports of the sinking and vowed that Italy would continue to combat human traffickers.
Italy's populist government has banned private rescue boats from bringing migrants to Italian shores. Together with Malta, Italy has also launched probes of the rescue groups themselves, claiming their operations might facilitate trafficking.
The three survivors of the sinking were plucked to safety by an Italian navy helicopter on Friday afternoon, the navy said.
The Italian navy said when its patrol plane first spotted the sinking dinghy it had about 20 persons aboard.
The plane's crew launched two life rafts near the dinghy, which inflated, and a navy destroyer 200km away sent a helicopter to the scene.
That helicopter rescued the survivors, two from a life raft and one from the water, the navy said, adding that all had hypothermia.
They were flown to Lampedusa, an Italian island near Sicily, and treated in a hospital, Di Giacomo said.
Many migrants cannot afford to pay for life vests, an extra cost when boarding a smuggler's boat in Libya.
The survivors said the migrants aboard the dinghy didn't have any. It wasn't immediately clear exactly how many migrants might have died before the navy plane spotted the sinking dinghy.
The Italian Coast Guard says Libya asked a nearby cargo ship to search for survivors but the ship reported it found no one.
Libyan navy spokesman Ayoub Gassim said one of its boats was sent Friday to the scene but it "had a mechanical issue and we had to call it back."
The official said 50 migrants were believed to have been aboard the dinghy when it set sail.According to the IOM, at least 2,297 people died at sea or went missing trying to reach Europe in 2018.
In all, 116,959 migrants reached Europe by sea routes last year, it says.The U.N. refugee agency UNHCR, said Saturday it was "appalled" at the news of the latest migrant deaths in the Mediterranean. In a statement from its Geneva headquarters, it said in addition to those missing off Libya, 53 people died in recent days in the western Mediterranean, where one survivor was rescued by a fishing boat after being stranded for more than 24 hours at sea.
"We cannot turn a blind eye to the high numbers of people dying on Europe's doorstep," said U.N. High Commissioner for Refugees Filippo Grandi.
Italy has trained and equipped the Libyan coast guard so it can intercept and rescue more migrant boats closer to their shores.
But U.N. refugee officials and rights advocates say the migrants rescued by the Libyans are returned to dangerous, overcrowded detention facilities, where detainees face insufficient rations, rape, beatings and torture.
Libyan navy official Ayoub Gassim said Saturday the Libyan navy had stopped two smuggling boats, one with 67 migrants aboard and the other with 20.In a separate operation, the German rescue group Sea-Watch said it rescued 47 people from a rubber boat off the coast of Libya.
After Italy's populist government took power in June 2018, the number of migrants reaching Italy after rescue at sea dropped off sharply, as anti-migrant Interior Minister Matteo Salvini refused to let humanitarian rescue vessels enter Italian ports.
Salvini says Italy has received hundreds of thousands of migrants rescued from Libyan-based smugglers in unseaworthy boats in the last few years and demands that other European Union countries do their part.
After the latest sea tragedy, Salvini said when humanitarian rescue boats patrol off Libya, "the smugglers resume their dirty trafficking (and) people start dying again."