Remove any membrane or silver skin from the pork tenderloins. Rinse, pat dry, and cut each tenderloin lengthwise to create a pocket for stuffing.
Fill the pork with pickled artichokes, then tie with kitchen string or secure with toothpicks.
Place the stuffed pork tenderloins in a bowl. Add olive oil, chopped garlic, rosemary, thyme, salt, and black pepper.
Rub the herb marinade thoroughly over the meat. Cover and marinate in the refrigerator for at least 2 to 3 hours for the best flavor.
Before grilling, remove the pork from the refrigerator and let it come to room temperature.
Preheat your grill to 250°C and set the burners to medium-low heat.
Place the pork tenderloin on the grill at a 45-degree angle to create classic grill marks. Turn every 3 minutes. Rotate the meat 90 degrees halfway through cooking to create a crosshatch pattern.
Grill for a total of 18 minutes, turning three times to cook evenly on all sides.
Transfer the grilled pork tenderloin to a cutting board, cover loosely with foil, and let it rest for 10 minutes before slicing.
Slice into thick pieces and serve with grilled bread, vegetables, and chimichurri sauce.