The coast guard ship Diciotti and the Topaz, a ship run by humanitarian group Migrant Offshore Aid Station, are part of the effort.
Hungary is building a second 'intelligent' fence equipped with heat and motion sensors and night-vision cameras along its border with Serbia.
Bulldozers have flattened the ramshackle huts and tents that had been home to about 6,000 people.
Officials say the numbers living and sleeping rough in the area have swollen by about a third since the evacuation of the Jungle.
Nearly 6,000 migrants have been bused around France, leaving behind the possessions accumulated during their time in the camp.
'Jungle' had been home to more than 6,000 people, most of them hoping to reach Britain.
The authorities are carrying out a complex operation, unprecedented in Europe, to shut down the makeshift camp.
'Reception and orientation centres' where refugees can apply for aslum will open but charities forecast they will try to get to the UK instead.
Smugglers took advantage of calm waters to launch vessels crowded with refugees who pay them in the hope of reaching Europe.
At least 10,000 refugees from war-torn countries such as Syria, Iraq and Afghanistan are currently living in the Calais camp.
Those on board were Egyptian, Eritrean, Sudanese and Somalian, although it was not clear where the boat was travelling to.
Residents could be seen wandering through the ashes and remains of tents, trailers and containers in which they once lived.
"Life is about who you marry, not the type of home you live in."
Tensions among locals have increased after the population of the camp rose to at least 7,000 people.
A drought and a seven-year insurgency by Islamist militant group Boko Haram is a disastrous pairing.
Compare and contrast scenes of the Balkan migrant crisis over the past two years.
Refugee camp is located in Penas Blancas on the official border crossing into Costa Rica.
Every day, thousands of families are forced to flee war and violence, leaving everything behind – except their hopes and dreams for a safer future.
The European Union deal with Turkey has affected the flow of people who have been able to reach Greece.
Government officials report that 1,110 people had left the camp.
As conditions in refugee camps worsen, the relocation target of 20,000 asylum seekers has been virtually ignored.
There are 294 unaccompanied children living in the Calais refugee camp, with further 129 unaccounted for.