I've taken it down some fire roads and out in a gravel pit or two. The tires are a little slick for that type of riding I've found, and the front suspension is a little soft for barreling down a bumpy road/trail; but I love exploring and wandering down old roads or trails, so I'm "making" the bike work for it.
I'm waiting on the cartridge kit now to be installed in the forks, and have to contact the race-tech folks about building a stiffer rear spring for me. I think I may end up trying to shed some weight at the expense of my center stand and battery, then slowly tinker and see what else I can do. I think for the center stand, because it's so nice for chain lubing and cleaning, I may come up with a way to use a quick-release pin, something like aircraft use for holding stuff in place. I may get an aluminum slip-on to shave some excess from that heavy steal exhaust on there; just don't want to make the thing any louder. (I don't like everyone else knowing where I'm exploring). Eventually, I may slap on some aluminum hand guards to replace the stockers and pick-up the aluminum skid-plate from twisted throttle.
another thing I noted was that the traction control doesn't like the dirt if the settings are to high. Sliding on the dirt is fun, and if the settings are too high it simply ******* the ignition far too much. (granted, I don't think Ducati designed it for the dirt, so I'm not complaining)