The alignment of grains in isostatically pre-compacted samples of (Bi,Pb)₂Sr₂Ca₂Cu₃O₁₀+δ high-Tc superconductor has been achieved by pressure-assisted compression (PAC) at room temperature. Hydrostatic pressures ranging from 200 to 800 MPa were intended to confer ductility to this polycrystalline ceramic material during its deformation while compressive stresses applied in order to promote grain alignment led to strain rates up to 50%. Using image analysis and X-ray diffraction, quantitative analyses show that, for any hydrostatic pressure, grain alignment appears at strain rates above 10% and becomes very pronounced at strain rates around 50%. Further improvement of the PAC technique with compressive stresses applied cyclically even led to a very dense sample with a global disorientation angle between grains equal to 5° and a transport critical-current density after sintering of 10⁷A/m² at 77 K and zero applied field.