  Several measurements of B-meson decay observables show deviations from
Standard Model (SM) predictions, some of them hinting at violation of lepton
flavour universality (LFU). I discusses how the anomalies in rare B decays can
be explained by partial compositeness. Partial compositeness is a key
ingredient of models with a composite Higgs boson and generically leads to
violation of LFU. After presenting a simple model with partial compositeness
that is able to explain the anomalies in rare B decays, the flavour
phenomenology of a minimal UV completion of a composite Higgs model with
partial compositeness is discussed: the minimal fundamental partial
compositeness (MFPC) model. A virtue of the MFPC model is its capability of
serving both as a solution to the naturalness problem of the SM and as an
explanation of the flavour anomalies in rare B-meson decays. In view of recent
new measurements, the results on which this proceedings contribution is based
are updated.
