The iron–tellurium-based compounds Fe1.1Te(TiSe2)y doped with titanium diselenide (y = 0, 0.04, 0.08, 0.1, 0.2) have been synthesized for the first time and studied by means of X-ray diffraction, electrical resistivity and magnetization measurements. It has been shown that the addition of a small amount of titanium diselenide to single-phase iron telluride with a tetragonal crystal structure leads to the appearance of superconductivity, a decrease in the Néel temperature and contraction of the crystal lattice at y ≥ 0.04. The maximal temperature of the onset of the superconducting transition ~ 13 K is observed for a sample with the nominal composition Fe1.1Te(TiSe2)0.1. The behavior of the resistivity with temperature below is observed to depend on the current value, which may indicate superconductivity characteristic of granular superconductors.