The invention relates to a two-stage design for a water purification system, with water to be purified first passing through a first stage containing particulate filtration media, and a second stage containing a porous filtration block. The particulate filtration media can be the same as, or different from, material included in the porous block. Either material may be any material that removes contaminants from water by, e.g., absorption, adsorption, ion exchange, sequestration, or other mechanism, or any combination of these.