Vila de Rei is a municipality in the district of Castelo Branco in Portugal. The population in 2011 was 3,452, in an area of 191.55 km. A small …Vila de Rei is a municipality in the district of Castelo Branco in Portugal. The population in 2011 was 3,452, in an area of 191.55 km. A small municipality covered with pinewoods, located precisely at the centre of Portugal, as marked by the Picoto da Melriça, a monument indicating the geodesic centre of Mainland Portugal. In addition, the site offers a spectacular panoramic view over a vast territory and includes a small Geodesy Museum.