Depending on how this plays out and what type of troops Edward gives him, it could either turn into a stalemate while he sends a few troops to retrieve the corpses or into a battle, where he'll have to eliminate the genovese as a factor from intervening in the retrieval.
If he gets enough longbowmen, he could probably kill or suppress the crossbowmen for some time, which might just do it.
On the other hand ,both of the parties being mercenaries, might also mean he'll be able to convince the genovese to just let him retrieve the knights, to spare both sides from further losses.