Arils Are More Than Seeds. Pomegranate seeds are enclosed in small, red, jewel-like drops called arils. The material inside the arils is tart and juicy and surrounds the white seeds of the pomegranate fruit. When a pomegranate is cut, you might assume the arils are the seeds, but this is a misconception.The arils and crunchy white seeds are the only edible portions of the pomegranate.hen a pomegranate is cut, you might assume the arils are the seeds, but this is a misconception. The arils and crunchy white seeds are the only edible portions of the pomegranate.