NOVELTY - Extracting biochemical products obtained from a process of hydrothermal carbonization of biomass, comprises: (a) heating the aqueous mixture of biomass to, or above, evaporation temperature in the vertical reactor and/or in a previous stage of preheating the aqueous mixture of biomass; (b) extracting the steam and/or gases generated in the previous stage and accumulated in the upper part of the vertical reactor; and (c) cooling the gases and/or condensing the steam extracted in the previous stage at different levels of temperature and pressure.    USE - The methods are useful for extracting biochemical products obtained from a process of hydrothermal carbonization of biomass; and for recovering biochemical product for producing liquid fuels (all claimed).    ADVANTAGE - The methods are designed for maximum biomass polymerization; for obtaining a maximum yield of hydrothermal carbon; and for improving the results of the extraction.    DETAILED DESCRIPTION - Extracting biochemical products obtained from a process of hydrothermal carbonization of biomass, comprises feeding an aqueous mixture of biomass from a preheating tube for the aqueous mixture of biomass to a vertical reactor with a predetermined level of floatation and an area for accumulation of steam and gases in its upper part, where method for extracting biochemical products comprises: (a) heating the aqueous mixture of biomass to, or above, evaporation temperature in the vertical reactor and/or in a previous stage of preheating the aqueous mixture of biomass, increasing the generation of steam and/or gases at the predetermined flotation level of the vertical reactor; (b) extracting the steam and/or gases generated in the previous stage and accumulated in the upper part of the vertical reactor; and (c) cooling the gases and/or condensing the steam extracted in the previous stage at different levels of temperature and pressure. INDEPENDENT CLAIMS are:    (1) biochemical product obtainable from the method;    (2) a method for recovering biochemical product comprising catalytic transformation; or a method for recovering biochemical product for producing liquid fuels comprising using a process type diesel hydrogenation; and    (3) a system for carrying out the method comprising: (a) at least one vertical reactor and a zone defined level, vapors and gases at the top where the process takes place hydrothermal carbonization of biomass; (b) at least one preheating tube reactor located above the vertical; and (c) a vapor condensation system comprising a set of equipment where condensation is conducted directly to the vapors obtained in the vertical reactor.