01 -
Make sure your grill setup uses indirect cooking with a high-heat zone and a cooler spot. Preheat a gas grill for 15 minutes, or for charcoal, fire up coals about 30 minutes before starting.
02 -
Throw the mayo, basil, lemon zest, garlic, salt, and pepper into a processor. Whirl it until smooth, scrape it into a small dish, and pop it in the fridge. Keeps fresh for seven days.
03 -
Using the same food processor, toss in the olives, giardiniera, and capers. Blend them quickly (just 3-5 pulses) until chunky but combined. Store up to 14 days in a sealed container.
04 -
Start grilling the sausages in the cool heat zone, as close to the flames as you can without placing them over the fire. Grill with the lid on for 4-5 minutes per side until they hit 150°F (65°C) inside.
05 -
Shift the sausages to the direct heat zone for 2-3 minutes per side until they've got that crispy, seared outside and register 160°F (71°C). Set them aside for a couple of minutes to rest.
06 -
Spray the brioche rolls lightly with cooking oil. Pop them onto the grill and toast for 1 minute over the hottest spot until golden and crisp.
07 -
Lay a grilled sausage into a toasted roll. Add a good helping of Castelvetrano relish and drizzle over the tangy aioli. Finish with a splash of balsamic if you like.