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We find Einstein-Yang-Mills (EYM) black hole solutions endowed with masslessscalar hair in the presence of a potential $V\left(\phi \right) $ as functionof the scalar field $\phi $. Choosing $V\left(\phi \right) =$constant (or zero)sets the scalar field to vanish leaving us with the EYM black holes. Our classof black hole solutions is new so that they do not asymptote in general to anyknown limits. Particular case is given, however, which admits an asymptoticallyanti de Sitter limit in $6-$dimensional spacetime. The role of the potential$V\left(\phi \right) $ in making double bounces (i.e. both a minimum andmaximum radii) on a Domain Wall (DW) universe is highlighted.

Double-bounce domain-wall in Einstein-Yang-Mills-Scalar black holes