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Given an adjoint semisimple group $G$ over a local field $k$, we prove thatthe maximal Satake-Berkovich compactification of the Bruhat-Tits building of$G$ can be identified with the one obtained by embedding the building into theBerkovich analytification of the wonderful compactification of $G$, extendingprevious results of R\'emy, Thuillier and Werner. In the process, we use thecharacterisation of the wonderful compactification in terms of Hilbert schemesgiven by Brion to extend the definition of the wonderful compactification tothe case of a non-necessarily split adjoint semisimple group over an arbitraryfield and investigate some of its properties pertaining to rational points onthe boundary.  Lastly, given a finite possibly ramified Galois extension $k'/k$, we take alook at the action of the Galois group on the maximal compactification of thebuilding of $G$ over $k'$ and check that the Galois-fixed points are preciselythe limits of sequences of fixed points in the building over $k'$, though theymay not lie in the Satake-Berkovich compactification of $G$ over $k$.

Wonderful compactifications of Bruhat-Tits buildings in the non-split case