An apparatus for the application of topical negative pressure therapy to a place (18, 82) on the skin of a mammal's body, the apparatus comprising: a bandage (14, 80) configured to seal the site in a sealed manner, comprising the bandage: a base part (88) configured to be supported by the skin (84) surrounding the place, the base part comprising an axially formed opening therethrough; a removable part (90) removably bearable by the base part; and a flexible membrane (92) removably bearable by the base part, the flexible membrane being configured to at least cover the opening formed in the base part; a conduit (120) in fluid communication with the bandage; a first reduced pressure generation device (50) which is a piston and cylinder device and a second reduced pressure generation device (12) which is a piston and cylinder device, both in fluid communication with the conduit; and a valve member (36) in fluid communication with the conduit (120) and with the reduced pressure generating devices, first and second, the valve being a one-way valve, the two being reduced pressure generating devices , first (50) and second (12), removably connectable to the valve member (36), the base part, the disconnectable part and the membrane are each formed of a substantially impermeable material; the bandage is configured to form a tightly sealed enclosure on the spot when the disconnectable part and the flexible membrane are supported by the base part; and characterized in that the first and second reduced pressure generating devices are arranged in parallel so that they can provide reduced pressure individually or simultaneously to the site.Un aparato para la aplicación de terapia de presión negativa tópica a un lugar (18, 82) en la piel del cuerpo de un mamífero, comprendiendo el aparato: una venda (14, 80) configurada para rodear de manera sellada el lugar, comprendiendo la venda: una parte de base (88) configurada para ser soportada por la piel (84) que rodea el lugar, comprendi