The Balkans and North Africa
Hitler needed oil supplies from Romania so he forced them to support Germany in the war. He
also forced Hungary and Bulgaria to support him as well.
Meanwhile Italy had invaded Greece but were defeated and needed help from Germany.Germany also invaded Yugoslavia.
German and Italian forces were also fighting in North Africa in an attempt to invade Egypt (British) to take the Suez Canal and cut off British oil supplies to force them to surrender.
Hitler sent German forces led by Rommel, the African Korps. Allied forces led by British General Montgomery, won the battle at El Alamein(Oct/Nov 1942). This was the first serious setback (defeat) that Hitler suffered.
Soon the Allied troops led by U.S. General Eisenhower landed in Algeria and Sicily was invaded (July 1943) and then Mussolini was overthrown and the new government declared war on Germany. Then German forces were sent to Italy and organized resistance until May 1945.