The invention relates to pet beds, and particularly with pet beds with a wall and a base encased in a fabric overcoat. Known pet beds have the disadvantage of needing a rimmed section to allow use by e.g., heavy dogs, and the further disadvantage that rimmed sections on walls formed from resilient materials generate high levels of waste. The object of the invention is to avoid this disadvantage, an objective met by a pet bed comprising a peripheral wall formed from a resilient material, the wall having a trapezium cross-sectional shape that diminishes in width from its upper to lower end.