I tried, there seem to be 2 files involved:

SAVEGAME.02

and

SAVEENGN.02

The number is just the place for the save. I copied those 2 and dropped them into the arena-folder of the other npc, but when i start the game, this save is not listed in the savegames-list.

Is there a chance at all to deliver my savegames ?

For the records: i just was bored and tried to load all the savegame-slots ingame, i did not care that they said "EMPTY"..suddenly the game loaded such a "empty"slot and it was the savegame i brought from the other pc !
So it works, you just have to find it on the other pc and save it again with another name, done :)

And don't forget to deliver 2 files, GAME and ENGN.