A process for preparing a fluid hemostatic composition, comprising: Inserting a volume of biocompatible liquid into a mixing flask equipped with a system for mixing said liquid, Introducing a volume of biocompatible gas into said volume of liquid, while the mentioned system of The mixture is operating under effective conditions to mix said liquid and said gas with each other, to form a foam comprising a discontinuous gas phase formed of said gas spread substantially homogeneously throughout a continuous liquid phase containing said liquid, Insert into said foam an amount of solid particles of a biocompatible polymer suitable for use in hemostasis and that is substantially insoluble in said liquid; and mixing said foam and said solid particles with each other under effective conditions to form a substantially homogeneous composition formed of said discontinuous gas phase and of said particles substantially homogeneously spread along said continuous liquid phase, where the ratio of the mentioned solid particles , of the liquid phase and the gas phase varies from 1: 2: 1 to 1:12:13, based on mass: volume: volume (grams: milliliters: milliliters), wherein said biocompatible polymer is selected from a group consisting of proteins selected from a group consisting of gelatin, collagen, fibrinogen and fibronectin, and polysaccharides, wherein said fluid hemostatic composition further comprises a functionally effective amount of thrombin, and thus forms said fluid hemostatic composition.Un proceso para elaborar una composición hemostática fluida, que comprende: Introducir un volumen de líquido biocompatible en un matraz de mezcla equipado con un sistema para mezclar dicho líquido, Introducir un volumen de gas biocompatible en dicho volumen de líquido, mientras que el sistema mencionado de mezcla está operando bajo condiciones efectivas para mezclar dicho líquido y dicho gas entre sí, para formar una espuma que comprende a una fase gaseosa discontinua conformada de dicho gas