A capsule for infusing a beverage, comprising: - a cup structure which includes a base, a lateral wall and a mouth which is closed by means of a cover; wherein said base includes a central area with at least one outlet hole for the beverage; - a laminar membrane which separates a lower chamber from an upper chamber which is configured to house a food substance; wherein the upper chamber is delimited between a part of the lateral wall, the cover and the laminar membrane, while the lower chamber is delimited between the base and the laminar membrane; wherein: - the base of the cup structure comprises a first annular plateau which surrounds the central area, and a second annular plateau which surrounds a channel located around the first annular plateau; wherein said channel constitutes a valley which separates the first annular plateau and the second annular plateau; - the laminar membrane is attached to a first surface of the first annular plateau of the base by means of a first welded attachment, which corresponds to a first internal part by way of a central disc of the laminar membrane; wherein an annular portion of said first internal part is welded to the first surface of the first annular plateau of the cup structure; - the laminar membrane is attached to a second surface of the second annular plateau of the base by means of a second continuous welded attachment which corresponds to a second end part of the laminar membrane welded to the second surface of the second annular plateau of the cup structure; - the lower chamber comprises the channel and a central cavity delimited between the central area of the base and a central part of the laminar membrane; wherein said channel and the central cavity communicate with each other through a maze located in the first annular plateau; and wherein the outlet hole communicates with said central cavity; said capsule being characterised in that: said laminar membrane includes a continuous circumferential pre-slit, said continuous circumferential pre-slit facing the channel and forming a closed path to generate a continuous annular opening around the first annular plateau. - a cup structure which includes a base, a lateral wall and a mouth which is closed by means of a cover; wherein said base includes a central area with at least one outlet hole for the beverage; - a laminar membrane which separates a lower chamber from an upper chamber which is configured to house a food substance; wherein the upper chamber is delimited between a part of the lateral wall, the cover and the laminar membrane, while the lower chamber is delimited between the base and the laminar membrane; wherein: - the base of the cup structure comprises a first annular plateau which surrounds the central area, and a second annular plateau which surrounds a channel located around the first annular plateau; wherein said channel constitutes a valley which separates the first annular plateau and the second annular plateau; - the laminar membrane is attached to a first surface of the first annular plateau of the base by means of a first welded attachment, which corresponds to a first internal part by way of a central disc of the laminar membrane; wherein an annular portion of said first internal part is welded to the first surface of the first annular plateau of the cup structure; - the laminar membrane is attached to a second surface of the second annular plateau of the base by means of a second continuous welded attachment which corresponds to a second end part of the laminar membrane welded to the second surface of the second annular plateau of the cup structure; - the lower chamber comprises the channel and a central cavity delimited between the central area of the base and a central part of the laminar membrane; wherein said channel and the central cavity communicate with each other through a maze located in the first annular plateau; and wherein the outlet hole communicates with said central cavity; said capsule being characterised in that: said laminar membrane includes a continuous circumferential pre-slit, said continuous circumferential pre-slit facing the channel and forming a closed path to generate a continuous annular opening around the first annular plateau. - the base of the cup structure comprises a first annular plateau which surrounds the central area, and a second annular plateau which surrounds a channel located around the first annular plateau; wherein said channel constitutes a valley which separates the first annular plateau and the second annular plateau; - the laminar membrane is attached to a first surface of the first annular plateau of the base by means of a first welded attachment, which corresponds to a first internal part by way of a central disc of the laminar membrane; wherein an annular portion of said first internal part is welded to the first surface of the first annular plateau of the cup structure; - the laminar membrane is attached to a second surface of the second annular plateau of the base by means of a second continuous welded attachment which corresponds to a second end part of the laminar membrane welded to the second surface of the second annular plateau of the cup structure; - the lower chamber comprises the channel and a central cavity delimited between the central area of the base and a central part of the laminar membrane; wherein said channel and the central cavity communicate with each other through a maze located in the first annular plateau; and wherein the outlet hole communicates with said central cavity;