Elementary particle physics offers an attractive solution to explain non-baryonic dark matter in the form of relic Weakly Interacting Massive Particles (WIMPs), formed in the early Universe and gravitationally clustered together with the standard baryonic matter. In our galaxy, dark matter might constitute a halo, extending far beyond the visible disk, whose properties are inferred from the rotational kinematics of the visible matter. WIMPs could then be directly detected, as the Earth passes through such a halo, by looking at the nuclear recoils produced by WIMP interactions with ordinary matter. Up to now none of the running, neither the already concluded, experiments were able to detect dark matter as a particle. In this scenario, dual-phase noble liquid Time Projection Chambers (TPC), detecting both ionization and scintillation lights produced by recoiling nuclei, offer the most promising experimental technique to reach the sensitivity required for the possible detection of a weak signal coming from the interaction of dark matter with the ordinary one. Liquid argon (LAr), in particular, is one of the most promising targets for the search of WIMP-like dark matter. The correlation in the two signal channels provides a possible handle to also measure the recoil direction of the nuclei: if confirmed, this would allow inferring the incident direction of potential dark matter candidates. In this contribution, after a broad, and very general, introduction about dark matter and its detection methods, I will focus on the recent results about the DarkSide Collaboration and its mid/long term plan. Finally, an introduction on the Recoil Directionality (ReD) experiment and its recent results will be also presented.