Hamud lost his kingdom in 1087  during the war against Roger I of Sicily. In 1282 Burgio's mayor was among several mayors invited to the Sicilian parliament by Peter I of Aragon, King of Sicily.
These two sentences describe historical events that occurred in different years, but they both relate to the political dynamics of Sicily. Hamud lost his kingdom due to conflict with Roger I of Sicily, while Burgio's mayor was invited to a Sicilian parliament by Peter I of Aragon.