  In our previous paper, we gave a complete list of the finite non-abelian
simple groups whose holomorph contains a solvable regular subgroup. In this
paper, we refine our previous work by considering all finite almost simple
groups. In particular, our result yields a complete characterization of the
finite almost simple groups which occur as the type of a Hopf-Galois structure
on a solvable extension, or equivalently, the additive group of a skew brace
having a solvable multiplicative group.
