I pulled this from Wiki. Italy would be in both scenarios.
LT
Italy entered World War II on June 10, 1940. In September of 1940 Germany, Italy and Japan signed the Tripartite Pact. By 1941, however, the Italians had suffered multiple military defeats; in Greece and against the British in Egypt. It was only through German intervention in Yugoslavia, the Balkans and North Africa that Italy managed avert a major military collapse. By 1943 the Italian people had lost faith in Mussolini and no longer supported the war; Italy had lost its colonies, the allies had taken North Africa in May and Sicily had been invaded in July.
On July 25, 1943, King Victor Emmanuel III dismissed Mussolini, placed him under arrest, and began secret negotiations with the Allies. Italy then signed an armistice with the Allies on September 8, 1943