The 73 migrants were picked up from a packed rubber dinghy drifting about 50 miles off Libya on Wednesday night.
Maltese Prime Minister Joseph Muscat said the country would disembark the migrants stranded for two weeks aboard a humanitarian ship in the Mediterranean Sea after six European countries agreed to accept all of them.
The move comes after Spanish navy set sail in an attempt to save migrants stuck in the boat off the coast of Italy.
Italy's Interior Minister Matteo Salvini has appeared to buckle under pressure to ease the political standoff over a migrant rescue ship, saying he would allow minors to disembark after being at sea for two weeks.
American actor Richard Gere visited 121 migrants on the rescue ship that has been stuck in the Mediterranean Sea for over a week.
Merchant Marine chief Benito Nunez Quintanilla warned NGO Open Arms that it was not authorised to conduct rescues in the southern Mediterranean, according to leaked letter.
The Spanish charity Proactiva Open Arms rescued more than 300 migrants off the coast of Libya and is now docked in the port of Crinavis, in San Roque. It was earlier denied by EU states.
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