It turned out to be kind of a mess, since the wood I used apparently belonged to someone else. A couple of hundred metres down the road a big oak had fallen over and appeared just to be lying there. I cut off a few slices with the chainsaw, and soon after returning home some local dude came by the house yelling something about the police. Our Italian isn't very so that's all we understood!
We got it sorted though - apparently someone else had, after I cut the slices and left, driven by and picked up the entire tree trunk. We gave him some of our wine and he smiled. Phew.