  Few-body systems with access to multiple internal levels exhibit richness
beyond that typically found in their single-level counterparts. One example is
that of Efimov states in strongly-correlated spinor three-body systems. In [V.
E. Colussi, C. H. Greene, and J. P. D'Incao, Phys. Rev. Lett. {\bf 113}, 045302
(2014)] this problem was analyzed for spinor condensates finding a complex
level structure as in an early work [Bulgac and Efimov, Sov. J. Nucl. Phys. 22,
153 (1976)] in nuclear physics, and the impact of Efimov physics on the general
form of the scattering observables was worked out. In this paper we discuss the
appearance of novel families of Efimov states in the spinor three-body problem.
