More than 90 people were aboard the two boats before they capsized, Flavio Di Giacomo, spokesperson for the UN's International Organisation for Migration (IOM) said.
A Somalian woman onboard one of the vessels gave a harrowing account to the Rome-based daily newspaper La Repubblica of losing her one-year-old daughter and husband.
"All hell broke loose," she said. "I never saw them again, my little girl slipped away, I lost them both."
What caused the two vessels to capsize has yet to be confirmed.
However, survivors suggested to La Repubblica that when the first boat capsized, its occupants were forced to climb into the second vessel, which then capsized as well.
"We had set out on two boats, but one capsized, so we all climbed aboard one of them. But then the other one also started taking on water," one told the paper.
Italian PM Meloni said in a statement: "When a tragedy like today's occurs, with the deaths of dozens of people in the waters of the Mediterranean, a strong sense of dismay and compassion arises in all of us.
"And we find ourselves contemplating the inhumane cynicism with which human traffickers organise these sinister journeys."
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