Like, one or more dungeon/8-man raid/24-man raid/trial (non-extreme/savage version only) will be selected randomly and offer daily bonus as you clear it. You can see which ones have the bonus on Duty Finder list through some sort of icon next to the dungeon/raid/trial name (similar to Moogle tomestone event).

I think this will encourage players to run less-run contents like Void Ark/Ivalice raid, because the roulette tends to be get ilv cheated to get into Crystal Tower series.