A pumping system for moving a liquid, or a mixture of a liquid and one or more objects (P), from a collector device (2; 2') submerged in a body of water (W), to a receiving facility (31) comprises a first delivery line (7), a second delivery line (11) and a pump unit (9). The pump unit (9) is submerged in the body of water (W) at a first depth (d) below the water surface (S) and arranged between the collector (2; 2') and the receiving facility (31). The first delivery line (7) is fluidly connected between the collector device (2; 2') and a pump unit inlet (18). The second delivery line (11) is fluidly connected between a pump unit outlet (17) and the receiving facility (31). The pump unit is thus configured to generate suction in the first delivery line (7) and a positive pressure in the second delivery line (11). Suction in the first delivery line (7) may be increased by increasing the first depth (d) and/or by opening of the adjustable valve (30).