Device for packaging, dispensing and applying a solid or pasty block of cosmetic product

A device for packaging, dispensing and applying a block of solid or pasty cosmetic product, comprising a longitudinal tubular case having an open first end, intended for dispensing the cosmetic product, and an opposite second end that is closed by a base accommodating a mechanism for driving a support for holding said cosmetic product in translation along the case, the device having, at the open first end of the case, an external envelope with a longitudinal central axis offset radially with respect to a longitudinal central axis of an external envelope of the device at the opposite end of the case that is closed by the base, the device being wherein the case bears, close to the open first end, at least one complementary application element protruding from a lateral wall of the external envelope in at least the direction of the offset between the longitudinal central axes from the central axis of the first end toward the central axis of the second end.