What if Alexios had won a decisive victory at the Battle of Dyrrhachium (1081) ? IOTL, Alexios had had the Normans pinned down in a siege between the Citadel at Dyrrachium. His advisors were split in two groups, those who counseled a more conservative approach of continuing the siege and those who counseled a more aggressive attack. Alexios did not listen to caution in OTL and despite early advances from his Varangian Guards, when the Varangians overextended themselves, his forces crumbled and fled.
What if Alexios had heeded to the more cautious councilors and continued his siege against the pinned in Normans and starved them out ? The Balkans would be spared two years of war and the de Hautevilles might lose some of their commanders (Robert Guiscard, Bohemond, etc.) and Alexios wouldn’t need to bribe the Holy Roman Empire into invading Sicily.
What if Alexios had heeded to the more cautious councilors and continued his siege against the pinned in Normans and starved them out ? The Balkans would be spared two years of war and the de Hautevilles might lose some of their commanders (Robert Guiscard, Bohemond, etc.) and Alexios wouldn’t need to bribe the Holy Roman Empire into invading Sicily.