Make sure the grill is smoking hot before placing the cabbages on it.
We used a gas grill for this recipe, which is why we chose a hay-smoked rapeseed oil to add a bit of smoky flavor to the dish.
Mix lemon juice, salt, pepper, and the oil in a small bowl.
Cut the pointed cabbage into 4 pieces, first by halving it lengthwise and then again.
Brush the two inner pieces with the oil/lemon mixture to help the cabbage char faster on the grill.
Grill the cabbage on one of the inner sides for 4 minutes, then grill the other inner side for another 4 minutes.
Turn down the grill and let it cook for an additional 5-7 minutes on the backside at a lower temperature.