"Swiftsure" initially remained off Egypt as part of Samuel Hood's squadron, before departing on 14 February 1799 to join Nelson, then at Palermo. She then joined Thomas Troubridge's squadron and sailed for Naples on 31 March. They arrived on 2 April, and Hallowell landed at Procida to restore monarchist rule. The squadron then cruised off the Italian coast, and supported land based operations, helping to reduce several fortresses. On 7 August "Swiftsure" was dispatched to Civitavecchia to carry Hallowell to negotiate the surrender of the French garrison. Before the negotiations were complete the "Swiftsure" was ordered to Gibraltar, and from there to Lisbon, arriving there on 30 November. She cruised off the area with the British squadron, capturing two merchant vessels on 6 December.