Blanch the asparagus for a couple of minutes and shock in ice water, drain and then dry on paper towels. Wrap the bundles with country ham slices. Spritz bundles with EVOO and season.
You can heat up your range grill, outdoor grill, or in my case I used the Cuisinart Griddler as I wasn't going to grill just 4 lonely bundles on a huge grill and I probably would have lost most of the lemon wedges through the grates. Add the prepared bundles and lemon wedges to the grill surface, look for good grill marks, turn and grill the other side, plate and serve with lemon wedges and shaved Parmesan.