In a food processor or chopper, combine the olive oil, Dijon, garlic, rosemary, Parsley, oregano, paprika, salt, and pepper to create a wet rub.
Pat the rack of lamb dry with paper towels and place them in a shallow dish.
Coat the lamb rack with the rub and marinate at room temperature for 20-30 minutes, or refrigerate for up to 4 hours for a deeper flavor.
When ready, preheat the grill for two-zone grilling - one side on medium-high heat (the grill temperature should be 400 to 425 degrees), one side on low heat.
Once the grill is hot, place the rack of lamb, fat side down, on the medium-hot side of the grill. Be prepared for flare-ups *see notes.
Grill for 3-6 minutes to form nice grill marks.
Turn the rack over and place it on the indirect heat side of the grill. If available, insert a digital probe into the thickest part to monitor the internal temperature. Close the lid and cook for 15-20 minutes, or until the internal temperature reaches 130°F (55°C) for medium rare or 135°F (57°C) for medium.
Once the lamb chops are cooked to your preference, transfer to a serving platter.
Rest the meat for 5 minutes before slicing and serving.