Whilst I can easily book flights from BUD through the usual booking pages on ba.com, Hungary does appear as a country of departure for complex itinerary bookings (e.g. return flights plus only 1 night of accommodation and secure via deposit) via here: https://www.britishairways.com/badp/...ries/search.do

Would this be a glitch, or is it expected? Can't get through to BA sales line to book over-the-phone as they are rightly prioritising existing customers.