A flexible, multilayer wound dressing with antibacterial and antifungal properties, together with methods for making the dressing. The dressing includes a layer of silver-containing fabric, a layer of absorbent material, and (optionally) a layer of a flexible air-permeable and/or water-impermeable material. The dressing can be used for prophylactic and therapeutic care and treatment of skin infections and surface wounds (including surgical incisions), as a packing material, and as a swab for surface cleaning.