  We present an update on the status of electroweak baryogenesis in minimal
composite Higgs models. The particularity of this framework is that the
electroweak phase transition can proceed simultaneously with the confinement
phase transition of the new strong dynamics that produces the composite Higgs.
The latter transition is controlled by the dilaton - the pseudo-Goldstone boson
of an approximate scale invariance of the composite sector. Since it naturally
is first-order, the electroweak phase transition becomes first-order too.
Another appealing aspect is that the necessary additional source of CP
violation can arise from the variation of the quark Yukawa couplings during the
phase transition, which is built-in naturally in this scenario. These two
features address the shortcomings of electroweak baryogenesis in the Standard
Model. We confront this scenario with the latest experimental bounds derived
from collider searches for new resonances and measurements of the Higgs
couplings and electric dipole moments. All these constraints provide (or will
be able to provide in the near future) important bounds on the considered
scenario, with the most stringent ones coming from LHC searches for new
resonances which constrain the dilaton mass and couplings. We identify the
viable region of parameter space which satisfies all the constraints, and is
characterized by a dilaton mass in the $300-500$ GeV range and a Higgs decay
constant $f \lesssim 1.1$ TeV. We discuss its future tests.
