  We present preliminary results of the first convergent global fits of several
minimal composite Higgs models. Our fits are performed using the differential
evolution optimisation package $\texttt{Diver}$. A variety of physical
constraints are taken into account, including a wide range of exclusion bounds
on heavy resonance production from Run 2 of the LHC. As a by-product of the
fits, we analyse the collider phenomenology of the lightest new up-type and
down-type resonances in the viable regions of our models, finding some low-mass
resonances that can be probed in future collider searches.
