BEG suits a Belgrade stay followed by northern or central Serbia. Arrange parking if retaining the car in the city, and compare a later collection if most early visits are on foot.
The airport publishes supplier-specific rental information; its Goldcar entry distinguishes normal service from confirmed out-of-hours reservations. Check your own supplier’s hours, terminal meeting point and return access instead of applying one company’s arrangement to all offers.
A car is useful for rural stays, monasteries and regional journeys beyond Belgrade and Novi Sad. For city-only sightseeing, compare public transport and collect the rental when leaving the city. Include overnight parking and the trip back to the collection branch in that decision.
Compare airport collection with a later collection if you start with a city stay. Include the transport to a different rental branch and any extra parking nights when comparing the total cost.