[6] On 5 September, Giacomo Medici got underway to join the auxiliary cruiser Barletta and the torpedo boat Palestro in escorting the motor ship Rossini and the steamer Italia, carrying a combined 1,090 men of the Italian Royal Army's 49th Infantry Division "Parma" and 97 tonnes (95 long tons; 107 short tons) of supplies, from Bari, Italy, to Durrës (known to the Italians as Durazzo), Albania.

[6] On 28 September Giacomo Medici got underway from Bari for Durrës, escorting the steamers Carmen, Giorgio Bottiglieri, and Tarquinia and the small tanker Abruzzi, all carrying civilian goods.

Tasked with occupying Corfu, the force, commanded by Ammiraglio di squadra (Squadron Admiral) Vittorio Tur, also included the light cruiser Bari (Tur's flagship), the light cruiser Taranto, the destroyers Augusto Riboty and Carlo Mirabello, the torpedo boats Altair, Andromeda, Angelo Bassini, Antares, Aretusa, and Nicola Fabrizi, and the tankers Garigliano, Sesia, and Tirso.

[6] At 03:00 on 6 November, Giacomo Medici and the torpedo boat Curtatone departed Vlorë, escorting the motor ship Donizetti and the steamers Italia, Piemonte, and Quirinale, which were returning to Italy in ballast.

[6] On 15 November at 00:20, Giacomo Medici and the torpedo boat Francesco Stocco left Bari escorting the steamers Nautilus and Poseidone, carrying civilian goods, on a voyage to Vlorë, which they reached at 19:00.

[6] Giacomo Medici and Curtatone left Vlorë at 07:00 on 17 November 1940 to escort the motor ship Maria and the steamers Sardegna and Tagliamento, proceeding to Italy in ballast.

[6] At 03:45 on 26 January, she set off from Durrës escorting the steamship Italia, the motor ship Puccini, and the military tanker Prometeo, returning in ballast to Bari, where they arrived at 23:00.

[6] On 16 February, Giacomo Medici left Brindisi at 18:30 escorting the steamers Diana, with 56 soldiers and 397 draft animals aboard, and Iseo, which had loaded various supplies at Bari, to Vlorë.

[6] At 17:50 on 1 March 1941, Giacomo Medici set off from Durrës headed for Bari, escorting the steamer Tagliamento and the motor ships Burmania and Tergestea, all in ballast.

[6] At 00:30 on 4 March, Giacomo Medici left Durrës to escort the steamers Aventino and Milano, in ballast, and the motor ship Rossini, which was carrying 235 lightly injured men, to Bari.

[6] At 20:00 that evening, Giacomo Medici left Durrës escorting Città di Tripoli, with 195 lightly wounded men on board, and the steamers Istria, Triton Maris, and Zena, all in ballast.

[6] At 01:00 on 4 April, Giacomo Medici began a voyage from Durrës to Bari, escorting the motor ship Donizetti and the steamers Bolsena and Perla, all in ballast.

Immediately afterwards, Giacomo Medici and Barletta took over the escort of a convoy composed of the steamer Italia and the motor ships Città di Marsala, Puccini, and Rossini, all in ballast, which had left Durrës at 16:00.

[6] Giacomo Medici got back underway at 08:15 on 9 April, departing Vlorë and escorting the steamers Dormio, Leonardo Palomba, Pontinia, and Tripolino, which arrived in Brindisi at 19:30.

[6] Meanwhile, Giacomo Medici and Brindisi took over the escort of the steamer Milano and the motor ship Città di Marsala, which were returning from Albania to Bari with 2,000 soldiers and a load of materials on board.

[6] On 11 May 1941, Giacomo Medici left Brindisi at 03:00 with the auxiliary cruiser Zara to escort the steamer Francesco Crispi, carrying troops and supplies, to Vlorë, where they arrived after a six-hour voyage.

[6]At 01:30 on 15 May, Giacomo Medici departed Brindisi bound for Vlorë escorting the motor ship Città di Agrigento and the steamer Poseidone, transporting personnel and supplies.

[6] On 22 June Giacomo Medici and Brioni escorted the motor ships Città di Alessandria and Città di Tripoli from Bari to Brindisi and then to Missolonghi, known to the Italians as Missolungi) in Axis-occupied Greece, while on 29 June she and the auxiliary cruiser Olbia escorted the steamers Francesco Crispi and Galilea, loaded with military personnel and material, from Brindisi to Patras in Greece.

[6] On 30 June, Giacomo Medici and Zara escorted Aventino, Italia, Quirinale, and Rossini from Bari to Durrës, where they delivered military personnel and materials.

[6] On 1 July 1941 Giacomo Medici and Zara first escorted Aventino, Italia, Quirinale, and Rossini — carrying a combined 4,290 soldiers and a load of materials — from Durrës to Bari.

[6] On 7 July Giacomo Medici escorted to the motor ship Viminale and the steamer Argentina — transporting personnel of the Royal Army and the Regia Marina bound for various destinations — from Brindisi to Vlorë.

[6] On 19 July 1941, Giacomo Medici, Francesco Stocco, and Zara escorted Aventino, Città di Marsala, Italia, and Milano, carrying troops and materials, from Durrës to Kotor (known to the Italians as Cattaro).

On 30 July Giacomo Medici and the auxiliary cruiser Attilio Deffenu escorted from Brindisi to Patras the steamers Aventino (bound ultimately for Rhodes) and Italia, transporting Royal Army personnel headed for various destinations.

[6] On 10 August, Giacomo Medici and Brindisi escorted the steamers Maria and Milano — loaded with troops, motor vehicles, trailers, and other military materials — from Bari to Durrës.

[6] On 11 August the two ships escorted the steamers Milano and Rosandra as they made a voyage from Durrës to Bari with 1,500 soldiers and a load of motor vehicles and other materials aboard.

[6] On 26 August Giacomo Medici and Attilio Deffenu escorted the steamers Argentina, Aventino, and Quirinale, with troops, motor vehicles, and supplies aboard, from Brindisi to Patras.

On 13 October Giacomo Medici escorted the motor ship Città di Trapani, carrying ammunition and other materials, on a voyage from Brindisi to Vlorë.

[6] On 1 November, Giacomo Medici and Zara escorted the steamers Italia, Milano, Piemonte, and Rosandra — carrying a combined 5,400 soldiers — from Durrës to Bari.

On 7 April 1942 she left Bari with the auxiliary cruiser Brioni, the destroyer Euro, and the torpedo boat Angelo Bassini to escort the steamers Aventino, Italia, Ogaden, and Titania to Durrës.

[6] Leaving Calino at Patras to continue her voyage to Rhodes, Giacomo Medici returned to the convoy routes in the southern Adriatic Sea, where on 20 July she and Brioni escorted to Quirinale as she transported soldiers from Durrës to Bari.