A refrigerator may include a refrigerator cabinet and at least one compartment disposed within the refrigerator cabinet, an ice maker for making wet ice disposed within the refrigerator cabinet, a bucket for storing the ice, the bucket positioned to receive the wet ice from the ice maker, and a drain in the bucket for draining water from the bucket. A method of making ice in a refrigerator includes making ice using an ice maker of the refrigerator, conveying the ice from the ice maker to a bucket having a drain, maintaining the ice in the bucket at a temperature above freezing to allow the ice to melt to water, and draining the water from the bucket.