Dispenser device for dispensing a liquid, comprising: - a container provided with a neck extending along a container axis, destined to contain the liquid to be dispensed, wherein the container comprises an annular lateral container wall around the container axis and an auxiliary liquid aspiration duct, made entirely in said lateral wall of the container, said auxiliary liquid aspiration duct having an engagement mouth and being open near a bottom of the container; - a dispenser head connectable to the neck of the container, comprising: a) a frame comprising i) a pressure chamber, a piston, suitable to slide in a sealingly manner within the pressure chamber along a pressure axis, and a dispenser duct, in fluidic communication with the pressure chamber, to dispense the liquid to the outside; ii) a secondary liquid aspiration duct connectable to the pressure chamber; b) manual actuation devices operatively connected to the piston to move it in the pressure chamber; c) an auxiliary body with a main surface, attached to the frame, comprising: i) a primary liquid aspiration duct connectable to the auxiliary liquid aspiration duct of the container and to the secondary liquid aspiration duct and eccentric with respect to the container axis; said dispenser device being characterized in that the primary liquid aspiration duct comprises a first section, starting from the main surface of the auxiliary body and having a first duct axis proximal to the container axis, and a second section, adjacent to the first section and terminating in the engagement mouth of the auxiliary duct, having a second duct axis distal to the container axis, said dispenser device being further characterized in that the engagement mouth has a truncated cone shape, converging towards the auxiliary liquid aspiration duct. - a container provided with a neck extending along a container axis, destined to contain the liquid to be dispensed, wherein the container comprises an annular lateral container wall around the container axis and an auxiliary liquid aspiration duct, made entirely in said lateral wall of the container, said auxiliary liquid aspiration duct having an engagement mouth and being open near a bottom of the container; - a dispenser head connectable to the neck of the container, comprising: a) a frame comprising i) a pressure chamber, a piston, suitable to slide in a sealingly manner within the pressure chamber along a pressure axis, and a dispenser duct, in fluidic communication with the pressure chamber, to dispense the liquid to the outside; ii) a secondary liquid aspiration duct connectable to the pressure chamber; b) manual actuation devices operatively connected to the piston to move it in the pressure chamber; c) an auxiliary body with a main surface, attached to the frame, comprising: i) a primary liquid aspiration duct connectable to the auxiliary liquid aspiration duct of the container and to the secondary liquid aspiration duct and eccentric with respect to the container axis; said dispenser device being characterized in that the primary liquid aspiration duct comprises a first section, starting from the main surface of the auxiliary body and having a first duct axis proximal to the container axis, and a second section, adjacent to the first section and terminating in the engagement mouth of the auxiliary duct, having a second duct axis distal to the container axis, said dispenser device being further a) a frame comprising i) a pressure chamber, a piston, suitable to slide in a sealingly manner within the pressure chamber along a pressure axis, and a dispenser duct, in fluidic communication with the pressure chamber, to dispense the liquid to the outside; ii) a secondary liquid aspiration duct connectable to the pressure chamber; i) a pressure chamber, a piston, suitable to slide in a sealingly manner within the pressure chamber along a pressure axis, and a dispenser duct, in fluidic communication with the pressure chamber, to dispense the liquid to the outside; ii) a secondary liquid aspiration duct connectable to the pressure chamber; b) manual actuation devices operatively connected to the piston to move it in the pressure chamber; c) an auxiliary body with a main surface, attached to the frame, comprising: i) a primary liquid aspiration duct connectable to the auxiliary liquid aspiration duct of the container and to the secondary liquid aspiration duct and eccentric with respect to the container axis; said dispenser device being characterized in that the primary liquid aspiration duct comprises a first section, starting from the main surface of the auxiliary body and having a first duct axis proximal to the container axis, and a second section, adjacent to the first section and terminating in the engagement mouth of the auxiliary duct, having a second duct axis distal to the container axis, said dispenser device being further i) a primary liquid aspiration duct connectable to the auxiliary liquid aspiration duct of the container and to the secondary liquid aspiration duct and eccentric with respect to the container axis; said dispenser device being characterized in that the primary liquid aspiration duct comprises a first section, starting from the main surface of the auxiliary body and having a first duct axis proximal to the container axis, and a second section, adjacent to the first section and terminating in the engagement mouth of the auxiliary duct, having a second duct axis distal to the container axis, said dispenser device being further