A lengthscale and rate-dependent strain gradient crystal plasticity framework was employed to simulate the inter- and intra-granular deformation at the meso- to microscopic level in a large-grained polycrystalline Ni foil. The sample was characterised by micro-beam Laue diffraction experiments. Post-processing of the model was carried out both to forward predict the Laue diffraction patterns on the detector and to perform inverse analysis of the local lattice misorientation in the crystal. The anisotropic broadening of the Laue spots ('streaking') was correctly captured by the simulation and further analysed to reveal the local lattice arrangement.