A day earlier, Italian Prime Minister Giorgia Meloni announced stricter sanctions for human traffickers, aimed at reducing the number of migrants spiking under her administration.
AP cited Italian government data as saying that a coastguard ship rescued 584 people on two stranded migrants, while two smaller coastguard motorboats received 379 people.
Another migratory boat carrying 487 people was towed ashore by coastguard and border guards.
Groups 584 and 487 were brought ashore in Calabria, while group 379 was brought to the port of Augusta in Italy, due to overloaded shelters in Calabria.
The coastguard said in a statement: "The rescue is complicated because boats are overloaded with migrants and the sea conditions are unfavorable."
Local officials told Reuters that another 200 people had been taken off the coast of Sicily, while air forces were taking migrants away from a crowded shelter on the island of Lampedusa, which is closer to North Africa than the coast of Italy.
More than 17,000 migrants have arrived in Italy this year, compared to 6,000 in the same period last year.
Prime Minister Meloni took power last year with a pledge to increase deportations and prevent smuggling vessels to Italian ports.
Despite the success of reducing the number of these ships by fines and detention, the number of migrants on the journey has increased, causing on March 9 to announce heavier prison sentences for human smugglers and accomplices.
Italian Prime Minister Meloni blamed human traffickers for the shipwreck that killed at least 76 migrants off the coast of Calabria on 25 February. She said the new measures would help fight the third amendments rule of law.
Accordingly, Italy will continue to prosecute smugglers operating in international waters.