Described is a product (11) for making through infusion a respective drink in particular a hot drink especially coffee the drink being preferably obtained by making the infusion in a respective machine which uses an infusion liquid which is in particular in the form of water especially in the form of hot water the product comprises a raw infusion material (13) preferably in the form of roasted and ground coffee in a compact configuration that is it has the respective constituent particles which adhere to each other. The infusion product (11) extends along an axial direction (L) between opposite longitudinal ends (11a 11b) and has a peripheral surface (11e) which is convergent towards a respective longitudinal end (11a) in such a way as to engage and match with the profile of a corresponding inner surface of a suitable infusion container (12) in particular in the form of an adapter container.
