The capacity of adaptability of a 3D-printed composite of polycaprolactone-based containing micro-particles of ferromagnetic shape memory alloy of composition Ni45Mn36.7In13.3Co5 was determined. Composites exhibit an increase in both damping and modulus values up to around 11%, at temperatures close to 325 K, when applying a magnetic field of 120 kA/m. In addition, composites show also an increase in the damping values of around 50% at temperatures near 333 K, related to the martensitic transformation, which is promoted by an increase in the oscillating strain from 0.5x10-4 up to 2x10-4 and when applying a magnetic field of 120 kA/m. Moreover, the maximum temperature of use of the composite can be increased by means of a magnetic field. These adaptability qualities make this functional composite attractive, for the vibration control at elevated temperatures as well as the potential applications in magnetocaloric devices.