  We introduce a new class of Composite Higgs models in which electroweak
symmetry is broken by a seesaw-like mechanism. If a global symmetry is broken
sequentially at different scales, two sets of pseudo-Goldstone bosons will
arise, one set being typically heavier than the other. If two Composite Higgs
doublets mix, then the mass-squared of the lighter state can be driven
negative, and induce EWSB. We illustrate with the example $SO(6) \rightarrow
SO(5) \rightarrow SO(4)$, and derive an estimate of the light Higgs potential.
We find that the introduction of an extra scale can ease many of the tensions
present in conventional Composite Higgs models, especially those related to
fine-tuning. In particular we find that we can significantly raise the upper
bound on the mass of the elusive top partners.
