  A composite Higgs boson of 125 GeV mass, only mildly fine-tuned, requires top
partners with a semi-perturbative coupling and a mass not greater than about a
TeV. We analyze the strong constraints on such picture arising from flavour and
electroweak precision tests in models of partial compositeness. We consider
different representations for the composite fermions and compare the case of an
anarchic flavour structure to models with a U(3)^3 and U(2)^3 flavour symmetry.
Although non trivially, some models emerge that look capable of accommodating a
125 GeV Higgs boson with top partners in an interesting mass range for
discovery at the LHC as well as associated flavour signals.
