The present disclosure is directed to a firebox basket for a barbeque grill or smoker. In one form, the present disclosure provides a grill comprising an ash depository, a firebox basket positioned in the grill above the ash depository; and a cooking rack positioned above the firebox basket. The firebox basket comprises: a support basket defining an internal area, the support basket comprising: a plurality of concentrically stacked rungs that define a side wall of the firebox basket; and a grate positioned at a bottom of the plurality of concentrically stacked rungs; and a plurality of ceramic pieces disposed within the support basket. The support basket is configured to support the plurality of ceramic pieces around the internal area of the support basket.