Well, the Eggies are Muslims, the Italians Catholics - the religion of the provinces you conquer will be different to yours, causing public loyalty issues. Then, you also want to be careful not to give any titles of those provinces to high Piety generals, as it will make things worse. When the religion of a province is different to yours, and is also at a very high percentage, you want governors with high Dread and low (or no) Piety. Also make sure you garrison the provinces sufficiently to prevent any revolts and to defend against re-offenses.