Method for producing an electrochemical assembly of a metal-ion accumulator such as an Li-ion accumulator, comprising the following steps: a1/ producing an electrode of given polarity and the porosities of which are filled with a gelled electrolyte, comprising a substrate formed from a metal foil comprising a lateral strip, referred to as a border, lacking active insertion material, and a central portion bearing, on at least one of its main faces, a pattern of material for active insertion of metal ions of the given polarity; a2/ producing a plurality of electrodes of a polarity opposite to the given polarity and the porosities of which are filled with the gelled electrolyte, each comprising a substrate formed from a metal foil comprising a lateral strip, referred to as a border, lacking active insertion material, and a central portion bearing, on at least one of its main faces, a pattern of material for active insertion of metal ions of the opposite polarity; b1/ producing a first electrolyte membrane in the form of at least one gelled polymer, the surface dimensions of the first membrane being substantially greater than those of the pattern of the electrode of the given polarity; b2/ producing a plurality of second electrolyte membranes in the form of at least one gelled polymer, the surface dimensions of each second membrane being substantially greater than those of the patterns of electrodes of the opposite polarity; c1/ depositing the first gelled electrolyte membrane on one of the main faces of the electrode of given polarity so as to form a support, the deposition being such that the first membrane overlaps the pattern of the electrode of given polarity; c2/ depositing each second gelled electrolyte membrane on one main faces of the electrodes of opposite polarity so as to form a subassembly, the deposition being such that the second membrane overlaps the pattern of the electrode of opposite polarity; d/ flattening the support composed of the electrode of given polarity to which the first membrane is bonded; e/ bonding one of the main faces of an electrode of opposite polarity to the first membrane without the electrode of given polarity, the bonding being carried out at one of the lateral edges of the support; f/ winding the support on itself so as also to bond the other of the main faces of the electrode of given polarity to the first membrane; g/ bonding the electrode of a subassembly to the first membrane, the bonding being carried out at a distance from the portion of the support wound in step f/; h/ winding the support on itself so as to bond the electrode of the support to the second membrane of the subassembly while at the same time superposing the two electrodes of opposite polarity; i/ reiterating steps g/ and h/ with all the subassemblies so as to obtain the wound assembly. a1/ producing an electrode of given polarity and the porosities of which are filled with a gelled electrolyte, comprising a substrate formed from a metal foil comprising a lateral strip, referred to as a border, lacking active insertion material, and a central portion bearing, on at least one of its main faces, a pattern of material for active insertion of metal ions of the given polarity; a2/ producing a plurality of electrodes of a polarity opposite to the given polarity and the porosities of which are filled with the gelled electrolyte, each comprising a substrate formed from a metal foil comprising a lateral strip, referred to as a border, lacking active insertion material, and a central portion bearing, on at least one of its main faces, a pattern of material for active insertion of metal ions of the opposite polarity; b1/ producing a first electrolyte membrane in the form of at least one gelled polymer, the surface dimensions of the first membrane being substantially greater than those of the pattern of the electrode of the given polarity; b2/ producing a plurality of second electrolyte membranes in the form of at least one gelled polymer, the surface dimensions of each second membrane being substantially greater than those of the patterns of electrodes of the opposite polarity; c1/ depositing the first gelled electrolyte membrane on one of the main faces of the electrode of given polarity so as to form a support, the deposition being such that the first membrane overlaps the pattern of the electrode of given polarity; c2/ depositing each second gelled electrolyte membrane on one main faces of the electrodes of opposite polarity so as to form a subassembly, the deposition being such that the second membrane overlaps the pattern of the electrode of opposite polarity; d/ flattening the support composed of the electrode of given polarity to which the first membrane is bonded; e/ bonding one of the main faces of an electrode of opposite polarity to the first membrane without the electrode of given polarity, the bonding being carried out at one of the lateral edges of the support; f/ winding the support on itself so as also to bond the other of the main faces of the electrode of given polarity to the first membrane; g/ bonding the electrode of a subassembly to the first membrane, the bonding being carried out at a distance from the portion of the support wound in step f/; h/ winding the support on itself so as to bond the electrode of the support to the second membrane of the subassembly while at the same time superposing the two electrodes of opposite polarity; i/ reiterating steps g/ and h/ with all the subassemblies so as to obtain the wound assembly.