Migrants from North Libya being rescued boats last year
During the 16-part rescue operation, 2,074 migrants were plucked from inflatable rafts and dinghies, according to the local Adnkronos news agency.
It is understood one dead body was found during the rescue mission.
The Italian coastguard were joined by five privately-run rescue boats and charities, including the Doctors Without Borders (MSF) vessels Prudence and Aquarius.
Migrants being rescued from overcrowded boats last year
According to the coastguard, the rescue operations ran non-stop for the entire day as they brought the migrants to shore from 16 overcrowded dinghies and three wooden vessels.
The MSF boats reportedly rescued some 1,145 people from nine different dinghies while the rest were picked up by the coastguard, the Phoenix – run by the Maltese organisation Moas – the German NGO Sea Eye and the German Jugend's Iuventa.
Rescuers said a teenager had been found dead in one of the rubber boats on Friday during the "very difficult" rescues.
Hundreds of migrants trying to cross the Mediterranean Sea on a boat
Migrants Rescued in the Mediterranean
Tue, January 3, 2017
Spanish NGO Proactiva Open Arms rescue all 112 on aboard, including two pregnant women and five children, as it drifts out of control in the central Mediterranean Sea, some 36 nautical miles off the Libyan coast January 2, 2017
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Migrants try to reach a rescue craft from their overcrowded raft, as lifeguards from the Spanish NGO Proactiva Open Arms rescue all 112 on aboard
How many people would have crossed if we weren't there today?
Doctors Without Borders
It comes as EU's border control agency Frontex has accused donor-funded vessels of doing more harm than good.
The agency claims boats such as the MSF’s Prudence and Aquarius are acting "like taxis”.
But MSF have defended its actions on Twitter, as they claim the same number of migrants would try to cross, even if they weren’t there.
MSF tweeted: “How many people would have crossed if we weren't there today, Frontex? Probably the same. How many would have died? Probably, many more.”
SOS Mediterranee, which operates the Aquarius jointly with MSF, posted a video showing women singing with happiness after their rescue.