All five of the ships formerly operated by Cruise & Maritime Voyages (CMV) have been placed up for sale.
Broker CW Kellock & Co will handle the auctions, with deadlines for bids ranging from 8 to 22 October.
The ships include Vasco da Gama (8 October), Columbus (12 October), Astor (15 October), Magellan (18 October) and Marco Polo (22 October).
All of the ships, bar Marco Polo, are laid up at Tilbury, with Marco Polo stationed at Avonmouth, near Bristol.
Each ship is to be sold by sealed tender.
It comes after former CMV boss Christian Verhounig last week launched a bid to relaunch the line, which collapsed in July.
Verhounig has acquired CMV’s customer database and booking systems, and started a new company – CVI.