As weather conditions deteriorated, NGOs urged more vessels to head to the region, with their own already crammed with around 4,500 people picked up from unseaworthy vessels the previous day in 35 operations.
The Migrant Offshore Aid Station (Moas) said its rescue started in the early hours of Saturday and had continued non-stop into Sunday afternoon.
Italian Coast Guard organised a rescue operation over Easter weekend to save those spilling off crowded boats and stranded at sea.
In the central Mediterranean, MOAS said there had been 2,074 rescues conducted by various search-and-rescue (SAR) assets on Friday, including 134 rescued by the Phoenix.
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A rescue ship on Saturday brought 504 migrants and one corpse to Pozzallo, Sicily, and while another boat brought about 500 other migrants to Augusta, Sicily.
SOS Mediterranee reported one man was found dead on the dinghies and rafts while the International Organization for Migration (IOM) said five drowned. "In 2017, the sea continues to be a graveyard", it said.
The IOM reports that the migrants often pay traffickers several hundred dollars for getting to Libya but once they arrive there, they are handed over to smugglers only to be auctioned off.
Six years since the revolution that toppled dictator Moamer Kadhafi, Libya has become a key departure point for migrants risking their lives to cross the Mediterranean to Europe.
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IOM Chief of Mission for Libya Othman Belbeisi commented on this development that "if a migrant is being killed, sometimes it is considered normal and numerous migrants are buried without identification".
MOAS co-founder and director Regina Catrambone called on European governments to act so that people, such as those rescued by us today, do not die.
Video footage showed rescuers jumping into the water off the coast of Libya to help them.
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