"Agamemnon", still with the Mediterranean fleet—now under Vice-Admiral William Hotham, who had superseded Hood in December 1794—participated in the Battle of Genoa when a French fleet, comprising 15 ships of the line, was sighted on 10 March 1795. Three days later, the French having shown no signs that they were willing to give battle, Admiral Hotham ordered a general chase. The French ship "Ça Ira" lost her fore and main topmasts when she ran into one of the other ships of the French fleet, "Victoire", allowing to catch up with and engage her. "Agamemnon" and came up to assist soon after, and continued firing into the 80-gun French ship until the arrival of more French ships led to Admiral Hotham signalling for the British ships to retreat. "Ça Ira" was captured the following day, along with "Censeur", which was towing her, by "Captain" and .