A method for making single-use beverage capsules, said capsules having a rigid cup-shaped body equipped with a closed base and an upper opening, and a filter having a concave shape and positioned inside the rigid body to form a chamber for containing a dose of product, said method comprising the following steps: - providing an upper flange having at least one hole; - providing a support having at least one housing seat for housing said rigid cup-shaped body, said support being positioned under the upper flange with the housing seat aligned with the hole; - inserting the rigid cup-shaped body into said housing seat with the upper opening close to the support; - providing a piece of filter material above the upper flange; - actuating a first step of feeding, using a pushing element, a central portion of said piece of filter material towards said hole, up to a first position; - upon reaching said first position of the pushing element, a main locking of said piece of filter material relative to said upper flange is performed, the method being characterised in that it comprises the following further steps: - making a main cut of said piece of filter material along a main closed cutting line, extending substantially circularly about said central portion, to obtain a filter for infusion of beverages; - after the step of making the main cut, actuating a second step of feeding, using the pushing element, the filter towards said housing seat, from the first position to a desired final position, suitable for fixing said filter to an inner surface of said rigid cup-shaped body; then - fixing a perimeter portion of the filter to said inner surface of the rigid cup-shaped body; wherein said first and/or second feeding step are performed in an adjustable way in such a way as to vary, respectively, a position of said filter relative to the main closed cutting line and/or to said desired final position. - providing an upper flange having at least one hole; - providing a support having at least one housing seat for housing said rigid cup-shaped body, said support being positioned under the upper flange with the housing seat aligned with the hole; - inserting the rigid cup-shaped body into said housing seat with the upper opening close to the support; - providing a piece of filter material above the upper flange; - actuating a first step of feeding, using a pushing element, a central portion of said piece of filter material towards said hole, up to a first position; - upon reaching said first position of the pushing element, a main locking of said piece of filter material relative to said upper flange is performed, the method being characterised in that it comprises the following further steps: - making a main cut of said piece of filter material along a main closed cutting line, extending substantially circularly about said central portion, to obtain a filter for infusion of beverages; - after the step of making the main cut, actuating a second step of feeding, using the pushing element, the filter towards said housing seat, from the first position to a desired final position, suitable for fixing said filter to an inner surface of said rigid cup-shaped body; then - fixing a perimeter portion of the filter to said inner surface of the rigid cup-shaped body; - making a main cut of said piece of filter material along a main closed cutting line, extending substantially circularly about said central portion, to obtain a filter for infusion of beverages; - after the step of making the main cut, actuating a second step of feeding, using the pushing element, the filter towards said housing seat, from the first position to a desired final position, suitable for fixing said filter to an inner surface of said rigid cup-shaped body; then - fixing a perimeter portion of the filter to said inner surface of the rigid cup-shaped body; wherein said first and/or second feeding step are performed in an adjustable way in such a way as to vary, respectively, a position of said filter relative to the main closed cutting line and/or to said desired final position.