Puerto Viejo de Talamanca: Getting Around Puerto Viejo. Puerto Viejo de Talamanca: Getting Around Puerto Viejo. Nature Air used to offer service to Limon airport but that service no longer exists. So the closest Costa Rican airport to Puerto Viejo is now San Jose. If you are visiting Panama, there are also airports in Bocas del Toro and Changuinola which you can book boat/ground transport to Puerto Viejo from. Best value and one of the easiest ways to get to Puerto Viejo is by public bus.