A process for manufacturing a device and the device for damping pressure pulsations for a compressor of a gaseous fluid, in particular a refrigerant, in a refrigerant circuit of a motor vehicle air-conditioning system. The device exhibits a housing that encompasses a chamber and features at least two outlet openings. Here, the housing is constructed between tubular connecting lines, whose ends are aligned with one another. An insert element for reducing the cross-sectional area of the pass-through opening is arranged inside at least one of the pass-through openings.