When the Burgundian Inheritance doesn't fire so you gotta. A claim on a province is an assertion that that province should be part of a nation, and can be gained in several ways. So with an advisor, i'm getting 3 adm per month. This will only show as option if your prestige is equal or higher then the target nation.
I get the event where my heir dies and i can get a new heir with a weak claim. Find below a list of all event ids in eu4. Chance of being triggered when an heir with a weak claim succeeds to the throne.