The magnetic properties of materials based on two-dimensional\ntransition-metal dichalcogenides (TMDC) have been investigated by means of\nfirst-principles DFT calculations, namely Fe-intercalated bulk\nFe$_{1/4}$TaS$_2$ compounds as well as TMDC monolayers with deposited Fe films.\nChanging the structure and the composition of systems consisting of Fe\noverlayers on top of a TMDC monolayers resulted in considerable variations of\ntheir physical properties. For the considered systems the Dzyaloshinskii-Moriya\n(DM) interaction has been determined and used for the subsequent investigation\nof their magnetic structure using Monte Carlo simulations. Rather strong DM\ninteractions as well as large $D/J$ ratios have been obtained in some of these\nmaterials, which can lead to the formation of skyrmionic structures varying\nwith the strength of the applied external magnetic field.\n