A combustible smokable filler material includes an agglomerated matrix of an inorganic component (e.g., particles of calcium carbonate) and an organic component (e.g., an alginate). The smokable filler material also includes a binding agent, and an aerosol forming material. Tobacco extracts and/or pieces of tobacco laminae can be incorporated into the smokable filler material, and/or the smokable filler material can be blended with tobacco cut filler. Cigarettes are provided by wrapping the smokable filler material in a paper wrapping material. A typical paper wrapping material has a porosity of less than about 5 CORESTA units.