Abstract: The invention relates to a wall element embodied in the form of a hollow precast concrete part comprising an internal wall, an external wall and a number of vertical channels which pass through the entire wall element from the top to lower faces thereof and whose cross-section reduces toward the wall base. When the wall element is positioned on the basement, it is possible to pour a cast-in-place concrete from the top into one or several vertical channels. The poured cast-in-place concrete attains through the channels, the wall base and further down in such a way that it penetrates into the basement or connecting elements. The hardened or solidified filling concrete forms a wedge which fixedly connects the wall element to a hollow brick of the basement.