Rub the lamb with the olive oil. In a small bowl, combine the basil/parsley, thyme, rosemary, pepper and salt. Rub mixture all over the lamb. Let it rest for 10 minutes at room temperature.
While chops are resting, prepare the Mint Pesto.
Add the garlic to a food processor and pulse until chopped. Add the pine nuts and pulse to chop. Add half of the herbs and chop for 30 seconds, then add the rest of the herbs and chop. Add in the Parmesan and salt and pepper, pulse briefly until combined. While machine is running, slowly add the oil in a steady stream and process to desired thickness.
Grill the lamb chops 2 to 3 minutes per side, for medium rare.