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In ultrarelativistic heavy-ion collisions at $\sqrt{s} >$ 20 (120)A$\cdot$GeV a copious production of charm (bottom) production sets in which,via correlated semileptonic $D \bar D$ ($B \bar B$) decays, gives rise to adilepton yield at invariant mass $M \approx$ 2 -- 3 GeV in excess of theDrell-Yan yield and the thermal dilepton signal from deconfined matter as well.We show that appropriate single-electron transverse momentum cuts (suitable forALICE at LHC) cause a threshold like behavior of the dilepton spectra fromheavy-quark meson decays and the Drell-Yan process and can allow to observe athermal dilepton signal from hot deconfined matter.Comment: 14 LaTeX pages including eps figure

Can one discriminate the thermal dilepton signal against the open charm and bottom decay background in ultrarelativistic heavy-ion collisions?