Dense (1 − x)BaTiO3-xBi(Li1/3Ti2/3)O3 ceramics were fabricated by the solid state reaction route. Powder X-ray diffraction analyses revealed an increase in the unit cell volume with increasing x and a change on the average crystal structure from tetragonal (space group P4mm) to cubic ( $$ Pm\bar{3}m $$ ) at x > 0.10. Raman spectroscopy analyses corroborated a change of symmetry, but also showed the local structure for x > 0.10 to be inconsistent with the centrosymmetric ( $$ Pm\bar{3}m $$ ) space group. The dielectric measurements revealed for the first time, to our knowledge, a double relaxor behaviour in a BaTiO3-based solid solution. Basically, with increasing x, the sharp ferroelectric anomaly at the Curie temperature (T c) shifts towards lower temperatures until a relaxor-type response is observed, but simultaneously, another relaxation emerges above T c. The first arises from poor coupling between polar nanoregions, whereas the later obeys the Arrhenius Law and may be associated either with a defect-dipole reorientation or a Skanavi-type mechanism.