Yes, eagles do come back to the nest after they fledge. Although it is not common for them to stay there for an extended period of time, some have been known to roost in their natal nest for a few nights or even weeks after leaving. The main reason that young eagles return to the nest is because it provides a safe and familiar place to perch and sleep. Additionally, while they are learning to hunt and fend for themselves, the food resources at the nest can be helpful in supplementing their diet. After a period of time though, most eagles will leave the area around their natal nest permanently as they establish their own territories elsewhere.