[Just_a_Bill]

I was trying to preserve as much of the original approach as I could, in an effort to make it easier for the decision-makers to consider fixing the grammar problem. Having said that, I do like your version better; it's shorter and reads more fluidly.

I would even go so far as to replace your second "Kozil" with a pronoun, since it would read a little better with no risk of ambiguity:

After Kozil attacks a small or medium figure, if he rolled at least 1 skull and is still adjacent to that figure,

Short and sweet, and still clear. When I make a rectangular card, your approach is what I would use for myself.

I do have one question remaining, though. Well, a pair of questions. Does "After Kozil attacks" allow any room for thinking it could be before defense dice, wounding, Counter Strike, Scatter, etc.? And/or does "After attacking with Kozil" absolutely 100% communicate that it's after all these things? If there's any implied difference in timing between "after X attacks" and "after attacking with X" then that could confer an advantage on the original opening phrase.