The Southampton-based firm is also cancelling Aurora’s Caribbean and South America Adventure and Arcadia’s World Cruise holidays sailing from January to March 2021.
Trips were previously suspended only until October 15.
Guests booked on the cancelled cruises will receive a voucher which gives an additional 25% on top of the amount paid for the holiday, or can apply for a full refund.
Last week, parent organisation Carnival cancelled short cruise trips recently booked through its AIDA brand as formal approval to sail has yet to be received from the Italian government.
Shares in Carnival shot up 8% to 1,050p on Tuesday early afternoon.