In October, a collision between a migrant boat and a Tunisian military ship left at least 44 dead, in what Prime Minister Youssef Chahed called a "national disaster".
"Units of the Sfax Marine Guard and the Navy went to the boat which was five nautical miles (9 kilometers) from Kerkennah Island and 16 nautical miles from the city of Sfax", the ministry added.
The migrant death toll in the Mediterranean continued to climb Sunday as at least 46 people drowned when a boat sank off the coast of Tunisia on Sunday.
Tunisian authorities, which on Sunday said they had recovered 48 bodies, provided no new figures on Monday, but said the coast guard is still searching for dozens of missing migrants.
In recent months, Tunisia increasingly has become a point of departure for Europe-bound migrants fleeing poverty and conflicts in Africa and the Middle East. The victims were Tunisians as well as other nationalities, Tunisian authorities said.
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The International Organization for Migration, the United Nations agency for migration, reported last week that 30,300 migrants and refugees entered Europe via sea in the first 147 days of 2018.
Spain's maritime rescue service announced Sunday that it had rescued a total of 240 people trying to cross the Mediterranean from North Africa over the weekend, and one person had apparently drowned.
Another rescued person said the captain abandoned the vessel after it started sinking to escape arrest by the coastguard.
"We could touch the water with our hands, and water was coming into the boat", he said.
Unemployed Tunisians and other Africans often try to cross the Mediterranean in makeshift boats hoping to reach Sicily in southern Italy.