The present invention relates to an adhesive composition comprising a component A and a component B, wherein said component A comprises bisphenol A resin; a hydrophilic solvent, preferably acetone or ethanol or mixtures thereof; and silica gel (SiO2) or alumina (Al2O3) and said component B comprises aliphatic or aromatic polyamines, preferably polyamidoamines; polythiol; a combination of primary and tertiary amines, preferably 1-(2-aminoethyl)piperazine and ethylenediamine; optionally a hydrophilic solvent and optionally silica (SiO2) or alumina (Al2O3) gel. Said composition has the advantage that it cures, in addition to under dry conditions, in the presence of water or humidity in a time of 30 minutes as much and is flexible. The present invention also relates to a process for obtaining said adhesive composition. The present invention also relates to the use of the adhesive composition of the present invention for the bonding of any type of material, both in a medium with the presence of water and without it, and of materials where a flexible behavior is necessary.