A brazing or refilling method, comprising the following steps: - providing at least one part containing at least 90% by mass of a metal or metal alloy, for example stainless steel, the part having at least one face defining a plurality of interstices , the interstices comprising at least two opposite edges separated on the face by a maximum distance (D), characterised in that the maximum distance (D) is less than or equal to 250 micrometers, preferably less than or equal to 150 micrometers, and the process further comprises the following steps: - obtaining a coating (R) in contact with said face , the coating (R) comprising at least a first layer located at least partially in the interstices , and a second layer adjacent to the first layer , the first layer comprising a first powder (A) comprising at least 90% by mass of a metal or metal alloy and having a solidus temperature TSA, the second layer comprising a mixture of a second powder (B) and a third powder (C), the second powder (B) and the third powder (C) being, respectively, different alloys suitable for brazing or refilling the part , one and/or the other of these alloys being for example a nickel alloy, the second powder (B) having a solidus temperature TSB, and the third powder (C) having a solidus temperature TSC strictly lower than the solidus temperature TSB, - heating the part and the coating (R) at a heating temperature (TF) strictly lower than the solidus temperature TSA, on the one hand, and lower, preferably strictly lower, than the solidus temperature TSB, and strictly higher than the solidus temperature TSC, and at least partially melting the coating (R), and - cooling the part and the at least partially molten coating (R), and obtaining a solidified residue attached to the part . - providing at least one part containing at least 90% by mass of a metal or metal alloy, for example stainless steel, the part having at least one face defining a plurality of interstices , the interstices comprising at least two opposite edges separated on the face by a maximum distance (D), - obtaining a coating (R) in contact with said face , the coating (R) comprising at least a first layer located at least partially in the interstices , and a second layer adjacent to the first layer , the first layer comprising a first powder (A) comprising at least 90% by mass of a metal or metal alloy and having a solidus temperature TSA, the second layer comprising a mixture of a second powder (B) and a third powder (C), the second powder (B) and the third powder (C) being, respectively, different alloys suitable for brazing or refilling the part , one and/or the other of these alloys being for example a nickel alloy, the second powder (B) having a solidus temperature TSB, and the third powder (C) having a solidus temperature TSC strictly lower than the solidus temperature TSB, - heating the part and the coating (R) at a heating temperature (TF) strictly lower than the solidus temperature TSA, on the one hand, and lower, preferably strictly lower, than the solidus temperature TSB, and strictly higher than the solidus temperature TSC, and at least partially melting the coating (R), and - cooling the part and the at least partially molten coating (R), and obtaining a solidified residue attached to the part . <EOS>