We report the low temperature magnetization and specific heat of single-crystal Pr5Si3 at ambient pressure under magnetic field up to 9T and temperatures down to 3K. Pr5Si3 orders ferromagnetically below TC=43K. The ferromagnetic state is strongly anisotropic where the basal plane in the body-centered tetragonal crystal structure is the easy-magnetic plane. Under hydrostatic pressures up to 18kbar the magnetization for temperatures down to 3K and magnetic fields up to 9T shows only a weak variation of the ordered moment and TC. Magnetization loops at low magnetic fields show changes of the hysteresis loops, notably the emergence of shoulder at the coercive field, that are characteristic of a ferrimagnetic modulation that is stabilized under pressure.
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