A process for making an alcohol-containing frozen comestible substantially devoid of ice crystal agglomerations and/or ice crystal striations and/or trapped air and/or liquids is provided. The process includes substantially flash freezing an alcohol-containing liquid composition so as to produce a substantially single-phase solid alcohol-containing composition. The solid alcohol-containing composition, and/or pieces thereof, are then exposed to an environment having temperature of from about −15° C. to about −30° C. so as to soften the solid alcohol-containing compositions and/or meld the pieces thereof into a single mass. The temperature of the single mass is then reduced so as to harden the single mass. Also, a process for incorporating a frozen alcohol-containing liquid composition into a non-alcohol-containing fraction is provided. Alcohol-containing liquid compositions suitable for use in the process are also provided.