A pouch (for example a urostomy pouch or an incontinence pouch) comprises a front wall (22), a rear wall (24) having an entrance aperture (32), and a central partition (36). The partition divides the pouch into an entrance chamber (38) and a collection chamber (40) located one in front of the other. A pad (42) of superabsorbent material is located in the collection chamber (40) and extends above the lower level of the entrance aperture (32). In use, urine entering the pouch is directed downwardly and through a lower permeable region (36) of the partition, whereafter it is absorbed and gelled by the superabsorbent material pad. The urine is also wicked upwardly by the pad (42) so that the full height of the pouch can be used as a liquid-collection region.In one preferred form, the pouch has a figure-of-eight profile, including a waist (66) which helps to control bulging of the pouch, and help keep the pouch flat for an optimum wicking effect.