A floatable modular device for absorbing oil from a surface, includes a generally disk-shaped floatable cage tapering towards the periphery of the cage in a peripheral region thereof; and a water-repellent strip-shaped oil absorbent accommodated in the cage, wherein the cage further includes at least one connector element configured for joining plural ones of the modular devices together, to form an articulate oil absorber in which the individual cages are oriented in parallel to one another. A method of manufacturing the device includes providing a first, grid-like sheet made of plastics, positioning a water-repellent strip-shaped oil absorbent on the first grid-like sheet, positioning a second sheet on the oil absorbent, and welding the first and second sheets together at their peripheries, with the oil absorbent in between, wherein peripheral regions of the first and second sheets are bent towards one another.