In the latest accident a coastguard official said about 10 immigrants were rescued by a fishing boat about 110 kiloemtres south of the island of Lampedusa.
The immigrants told the crew there had been more than 40 people on their boat. Yesterday, a boat packed with as many as 120 illegal immigrants sank in waters off Sicily.
Rescue ships saved 70 immigrants and recovered 10 bodies from that boat.
Lampedusa, between Sicily and Libya, has become one of the gateways for illegal immigrants and refugees who leave North Africa in an attempt to enter the European Union.
The crew of a rescue plane reported they had spotted 10 bodies in the area and coastguard boats were heading to the spot.
Five boats carrying a total of 125 immigrants from North Africa entered Italian waters on Sunday. Four were intercepted at sea but one managed to make it to shore.
Calls for co-operation
The latest disasters prompted Italy to call for greater co-operation to fight human trafficking.
"(This) is not only a tragedy but nothing less than a crime," Interior Minister Giuliano Amato said after yesterday's sinking, calling for more cooperation to dismantle criminal gangs behind the trafficking.
Spain's Canary Islands, another EU entry point for illegal immigrants from Africa, made a plea for help last week, saying local services could no longer cope.
About 16,400 African boat people have landed on the islands so far this year.
Nearly 10,000 have reached Italy's Lampedusa this year. In 2005, nearly 23,000 illegal immigrants reached Italy, about 8,000 more than in 2004.
In Italy, police said they had identified five men among survivors of yesterday's disaster who they believe are Libyan and suspect of being part of a gang that organised the voyage.