7.9 Marking at rear sight=YES! Two Cross-bolts=YES! No Alpha/Numeric below the Eagle= YES! (there are none)Unfortunately, if you were looking for a German-converted Carcano, your signature line says it all in this case. However, that doesn't mean that there aren't those that like this variant.
As described, it sounds like you have one of the rifles converted post-war to take advantage of the massive amounts of 7.92x57mm ammo on the market at the time. There is probably a '7.9' marking in the metal near your rear sight, right? The import marking is a give-away that it is not a capture rifle, and as Ariano Kid said, the swastikas on the bolt and stock smell fake. The only German markings that should appear on Carcano stocks are depot or HZa stamps, which were alpha-numeric codes surmounted by a German eagle to reflect inspection at a German weapons facility. Beyond that, you're getting into the Krieghoff conversion rifles and their (sometimes) German serialled stocks, but that's a whole different animal...The Germans never bothered to mark Carcano bolts with swastikas, either.
Your rifle probably has two cross-bolts, one at the receiver and the other in the wrist of the stock. That's another one of the signs of the post-war 8mm conversions. If you like the rifle, keep it and enjoy it for what it is.