Italian shipbuilder wants to expands its Ancona yard to construct bigger ships.
PortSEurope cited CEO Giuseppe Bono as saying discussions with the port are ongoing.
He was speaking at the delivery of the 930-berth Viking Sun, the fourth of eight ships Viking Cruises ordered from Fincantieri.
Expanding Fincantieri has recently moved into the Chinese cruiseship market, agreed a deal to take control of STX France and is also planning a listing in Australia if it lands a big defence contract.