The line is making concessions of up to 10% available to customers booked to travel with either Swan Hellenic or Voyages of Discovery.
The offer, which also includes a £50pp low deposit, is valid until January 16.
Customers are being a offered a 5% discount on inside category cabins and 10% on ocean view cabins on CMV’s current saver fares.
In a statement, CMV said that some of its ex-UK sailings “closely match both the Minerva Swan Hellenic and Voyager Voyages of Discovery brand cruises and we also have availability on Magellan’s Far East, Asia and Indian Ocean World Cruise sectors between February and April 2017.”
The CAA confirmed on Wednesday (January 4) that All Leisure Group had ceased trading.
The authority said around 400 people were currently abroad, which it was arranging to repatriate.
It added that most customers would be able to use their scheduled airline tickets to return home, and that the CAA had made arrangements to bring the remaining passengers back to the UK.
Abta confirmed that All Leisure, headed by chairman Roger Allard, had around 7,000 forward bookings with 13,000 passengers affected.