  We develop a variant of the Minimal Flavour Violation ansatz for the case of
a strongly interacting heavy-Higgs boson sector. The tower of effective
operators differs from that for a Higgs system in the linear regime, and the
new operators obtained at leading order include a CP-odd one. We investigate
the impact of these operators on Delta F=1 and Delta F=2 observables,
demonstrating that the non-linear scenario may have an interesting impact on
the anomalies in present data.
