At the time of its establishment, the Corps's zone also included Northern Epirus, which had come under Greek control during the First Balkan War.
The Corps withdrew its units from there in February 1914, which led to an uprising of the local Greek population.
However, with the outbreak of the Greco-Italian War on 28 October 1940, all available forces were switched to Epirus, and on 15 December 1940, V Corps was disbanded and its name transferred to the "K" Group of Divisions on the Albanian front.
The latter was a corps-sized battle group, formed on 11 November to facilitate the Greek counter-attack against the Italians.
It came under the operational control of Western Macedonia Army Section (TSDM) and was named after its commander, Lt. Gen. Georgios Kosmas.