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Using the measurements of the susceptibility and magnetization in steady and pulsed magnetic fields and under applied hydrostatic pressure we have investigated the magnetic properties of Cr-intercalated Cr x TiSe 2 compounds having a hexagonal crystal structure of a quasi-two-dimensional type. It has been found that the effective magnetic moment μ eff of Cr changes nonmonotonously with Cr-content. The μ eff (x) dependence correlates with the change in the interlayer distance at the intercalation which is attributed to the change of the localization degree of the chromium 3d-electrons. The intercalation leads to changes of the magnetic state of Cr x TiSe 2 from the Pauli paramagnetism at x=0 to the claster-glass behavior at 0.25=<x=<0.33 and then to the antiferromagnetic order in Cr 0.5 TiSe 2 . The last compound exhibits a field-induced spin-flip transition below the Neel temperature T N =38 K due to the very low ratio between the interlayer and intralayer exchange interaction (w 2 /w 1 ~5.4x10 -3 ). The applied hydrostatic pressure decreases the Neel temperature with a rate dT N /dp=-0.19 K/kbar. The interlayer exchange interaction was found to be more sensitive to the Cr-Cr distance than the intralayer one.