Short answers, pulled from the story.
The Italian invasion of France took place from the 10th to the 25th of June 1940. Italy declared war on France and Britain on the evening of the 10th of June, and the armistice came into effect just after midnight on the 25th of June.
Mussolini sought the elimination of Anglo-French domination in the Mediterranean, the reclamation of historically Italian territory, and expanded Italian influence over the Balkans and Africa. Specific territorial ambitions included Nice, Corsica, Tunisia, Djibouti, and control over the Suez Canal Company.
The Italian offensive stalled because Italian divisions were converting from a defensive to an offensive posture with little preparation time, equipment was obsolete, and French fortifications on the Alpine Line held firm. Most Italian tanks were L3/35 tankettes that Italian historians later described as useless, and only nineteen of Italy's seventy-three divisions were fully combat-ready.
Italy captured only a few kilometers of French territory, with the coastal town of Menton being the most significant conquest. The armistice terms gave Italy the territory it had captured, a demilitarized zone on the French side of the border, and economic control extending into southeastern France up to the Rhône.
Fort Chaberton, an Italian fort atop Mont Chaberton at an altitude of 3,130 meters, was nicknamed the battleship in the clouds by the French. During the offensive, French gunners using 280-millimeter mortars silenced six of its eight armoured turrets in just fifty-seven shots over three days. The two remaining turrets continued firing until the armistice.
The Commissione Italiana d'Armistizio con la Francia, known as the CIAF, was established in Turin to oversee French compliance with the armistice terms signed on the evening of the 24th of June 1940.