Del Rio this week also took time to update expectations for this year's Alaska season.
Costa has already made its return to sailing post-COVID shutdown with Costa Deliziosa, which sailed out of Trieste, Italy in September.
The cancellations include a total of 19 voyages scheduled aboard Seabourn Odyssey.
Princess is engaged with various United States and Canadian government officials to try to preserve a portion of the 2021 Alaska season.
Carnival now joins Norwegian Cruise Line Holdings in pausing operations until June 1.
Along with the overall pause through May, Disney Magic sailings have also been canceled through Aug. 10, 2021.