Thinking out loud here, but for a possible medieval / fantasy variant, how about something like this:
In a brawl, each player rolls an Attack die and a Parry die.
Attack dice work like Kill dice do now.
On the Parry die:
1: Block enemy attack.
6: Riposte. Roll a Kill die against enemy.
If both combatants roll the same results on their Kill dice, nothing happens.
If one rolls an Out of Action and the other rolls a Knock Down, the combat is pushed back 2" and the "winner" rolls another Kill die, with the "loser" rolling another Parry die.