  Given a quasi-reductive group $G$ over a local field $k$, using Berkovich
geometry, we exhibit a family of $G(k)$-equivariant compactifications of the
Bruhat-Tits building $\mathcal B(G, k)$, constructed and investigated by
Solleveld and Louren\c{c}o. The compactification procedure consists in mapping
the building in the analytification $G^{\mathrm{an}}$ of $G$, then composing
this map with the projections from $G^{\mathrm{an}}$ to its (in general
non-compact) pseudo-flag varieties $(G/P)^{\mathrm{an}}$, for $P$ ranging among
the pseudo-parabolic subgroups of $G$. This generalises previous constructions
of Berkovich, then R\'emy, Thuillier and Werner.
  To define the embedding, we are led to giving a partial extension to the
quasi-reductive context of results due to Rousseau on the functoriality of
Bruhat-Tits buildings with respect to field extensions, which are of
independent interest.
  Finally, we conclude by investigating the geometry at infinity of these
compactifications. The boundaries are shown to be stratified, each stratum
being equivariantly homeomorphic to the Bruhat-Tits building of the maximal
quasi-reductive quotient of a pseudo-parabolic subgroup.
