Sixty-eight others - from Tunisia and elsewhere - were rescued by the coastguard.
At least 35 migrants were killed on Sunday when a boat they were travelling on sunk off the coast of Tunisia, the countries Defence Ministry said on Sunday.
In March, 120 mainly Tunisian migrants were rescued by the navy trying to reach Italy.More news: Apple touts privacy features of new operating systems
Also on Monday, Italy's newly installed interior minister Matteo Salvini said Italy will no longer be "Europe's refugee camp", as he promised tough action to reduce migrant arrivals and send back those who have already arrived.
The ministry said in a statement Sunday that the coast guard rescued 68 others, including Tunisians and seven foreigners, during a mission launched overnight and continuing.
Authorities said about 180 people, of both Tunisian and other nationalities, were hemmed in onboard the vessel.More news: Chris Sutton reveals shock at Marouane Fellaini rumours
Earlier Sunday, Turkish officials reported that nine migrants, including six children, drowned when a boat capsized in the eastern Mediterranean near the town of Demre in the southern province of Antalya.
Migrants try to stay afloat after falling off their rubber dinghy during a rescue operation by the Malta-based NGO Migrant Offshore Aid Station (MOAS) ship in the central Mediterranean in global waters some 15 nautical miles off the coast of Zawiya in Libya, April 14, 2017. A 2016 deal between Turkey and the European Union has dramatically reduced the numbers of migrants coming into Greece.
The service said it rescued the migrants from 11 small boats attempting the perilous crossing from African shores to Spain between Saturday and Sunday.More news: Robert Mueller Asking Judge to Jail Paul Manafort Over Alleged Witness Tampering