MILAN (Reuters) - Nearly 4,700 migrants were rescued off the coast of Libya on Saturday as they tried to reach Europe but one woman was found dead, Italy's coastguard said.

Tens of thousands of people, mainly from Africa and the Middle East, have tried to cross the Mediterranean this year, often dangerously packed into small vessels unsuitable for the voyage.

The coastguard said in a statement it had coordinated 20 rescue operations involving numerous vessels which picked up 4,343 migrants from rubber boats and barges. In one of the inflatable boats a woman's body was found, the coastguard said, without specifying the possible cause of death.

Another 335 people were picked up as part of a rescue mission coordinated by Greece and were being directed to a port in Italy to disembark.

The rescues were carried out by vessels from the Italian coastguard and navy, humanitarian agency Doctors Without Borders, the Malta-based Migrant Offshore Aid Station, a merchant boat, a Croatian vessel under the European Union's Triton rescue mission and naval ships from Germany and Britain under the EU's EUNAVFOR Med mission.

Europe is struggling to cope with a record influx of refugees as people flee war in countries such as Syria, and the Mediterranean has become the world's most deadly crossing point for migrants.