The cooling device comprising an inner wall (12'') adapted to contain a product (14'') to be cooled during use, said inner wall being wholly or partly covered with a fluid-absorbing element (16''), such as a wick or blotting paper having a first side in contact with said inner wall and a second side exposed to a surrounding atmosphere. The fluid-absorbing element being in fluid contact with a fluid reservoir (20'') so that continuous evaporation of fluid transported from said reservoir to the fluid-absorbing element cools said inner wall by evaporative cooling.