1-866-829-1086 Southwest Airlines Edinburgh Office
Southwest Airlines doesn't have a direct, physical office in Edinburgh, Scotland they are a US-based carrier, but you can book flights to/from the US via their partners like Condor, use their corporate booking tool (SWABIZ), or visit their website for international options. If you were looking for the City of Edinburgh Council's "South West locality" office, that's at 10 Westside Plaza, but it's for local UK council services, not the airline.