The Battle of Algeciras Bay began on July 8, British squadron of seven ships of the line, one frigate and one brig, under French squadron of three line-of-battle ships and one frigate, under Admiral Linois. The French were aided by the Spanishgunboats and the shore batteries, and Saumerez lost the Hannibal, which ran ashore, and was captured by the French. The British lost 121 killed and 240 wounded, the French 306 killed.
On July 12, the French squadron, which had been reinforced meanwhile by five Spanish ships of the line, was again attacked by Saumarez, who succeeded in capturing the St Antoine and blowing up Hermenegilda. The British lost 17 killed and 100 wounded; the allies, 2,000, chiefly on Hermenengilda.
The Indomptable fought in the Battle of Algeciras in 1801 when she was again badly damaged.
On 22 June 1805, in the battle of Cape Finisterre the quartermasters of Indomptable spotted the British fleet under Sir Robert Calder, after a violent artillery exchange, the fleets were separated in the fog.
During the Battle of Trafalgar on October 21, 1805, the Indomptable was in the Spanish line between the San Justo and the Santa Anna.