HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

That would be nice, at least so that the same saves aren't overwritten when playing with the same person. Otherwise, the second time, it overwrites the save, assigning it a "2". And if I've played 10 games with the same person, and then I want to look at the saves, they're already gone.