Italy's Interior Minister Matteo Salvini on Wednesday called for "guarantees" before allowing an Italian coastguard ship with more than 60 migrants on board to dock.
Geroge Clooney was taken to hospital with a possible injury to his hip, state news agency Ansa said.
Italy will seek commitments from European Union partners to have migrants rescued at sea by ships from anti-trafficking and border control missions taken to other countries, its interior minister said on Sunday.
A Spanish NGO said Saturday it had rescued 59 migrants as they tried to cross the Mediterranean from Libya, drawing condemnation from Italy's far-right interior minister who said they were not welcome in his country.
Malta will let the rescue ship Lifeline dock after Italy refused it entry, ending the vessel's near week-long wait in the Mediterranean with more than 230 migrants on board, Italy's prime minister said on Tuesday.
More than 100 rescued migrants from private cargo ship Alexander Maersk, picked up off the coast of southern Italy on Friday, arrived in the southern port of Pozzallo in Sicily on Tuesday.
The world's leading container shipping company Danish Maersk Line on Saturday said one of its vessels rescued 113 migrants off the coast of southern Italy.
European neighbours Italy and France tried to patch up a row over immigration on Thursday as Pope Francis urged politicians everywhere to work together on helping refugees and respect their dignity.
The International Commission on Missing Persons (ICMP) launched an initiative in Rome on Monday to help find missing migrants in the Mediterranean, a day after Italy and Malta refused to allow a rescue boat carrying 629 migrants to dock in their ports.