A pumping system for moving a liquid, or a mixture of a liquid and one or more objects, from a collector device (2; 2') submerged in a body of water, to a receiving facility arranged on a surface vessel or structure (1; 1'), said collector device configured for being towed by the surface vessel or structure via towing means, or being suspended in the body of water, or moving along a seabed below the body of water, or being stationary on the seabed; said collector device being a trawl or any suitable collector designed for collecting any objects suspended in water and for feeding a mixture of water and such objects into a first delivery line; said system comprising the collector device (2; 2'), the receiving facility, and the surface vessel or structure (1; 1'), and further comprising the first delivery line, a second delivery line and a pump unit comprising a pump, wherein: - the first delivery line being fluidly connected between the collector device (2; 2') and a pump unit inlet; and - the second delivery line being fluidly connected between a pump unit outlet and the receiving facility; whereby the pump unit is configured to generate suction in the first delivery line and a positive pressure in the second delivery line, wherein the pumping system is characterized by: - the pump unit being configured for being submerged in the body of water at a first depth (d) below a surface of the body of water and arranged between the collector device (2; 2') and the receiving facility, while the collector device (2; 2') is arranged at a second depth ( t) below the surface; and - the pump unit is supported by the vessel or other structure (1; 1') via connection means (10; 27; 28); and - the pump unit is arranged at a depth necessary to obtain sufficient pressure at the pump inlet in order to avoid pump cavitation when drawing water through the first delivery line, and - the pumping system further comprises a valve fluidly connected to the first delivery line at an inlet in the vicinity of the pump unit and operable to allow an inflow of ambient seawater into the first delivery line. said collector device being a trawl or any suitable collector designed for collecting any objects suspended in water and for feeding a mixture of water and such objects into a first delivery line; said system comprising the collector device (2; 2'), the receiving facility, and the surface vessel or structure (1; 1'), and further comprising the first delivery line, a second delivery line and a pump unit comprising a pump, wherein: - the first delivery line being fluidly connected between the collector device (2; 2') and a pump unit inlet; and - the second delivery line being fluidly connected between a pump unit outlet and the receiving facility; - the first delivery line being fluidly connected between the collector device (2; 2') and a pump unit inlet; and - the second delivery line being fluidly connected between a pump unit outlet and the receiving facility; whereby the pump unit is configured to generate suction in the first delivery line and a positive pressure in the second delivery line, wherein the pumping system is characterized by: - the pump unit being configured for being submerged in the body of water at a first depth (d) below a surface of the body of water and arranged between the collector device (2; 2') and the receiving facility, while the collector device (2; 2') is arranged at a second depth ( t) below the surface; and - the pump unit is supported by the vessel or other structure (1; 1') via connection means (10; 27; 28); and - the pump unit is arranged at a depth necessary to obtain sufficient pressure at the pump inlet in order to avoid pump cavitation when drawing water through the first delivery line, and - the pumping system further comprises a valve fluidly connected to the first delivery line at an inlet in the vicinity of the pump unit and operable to allow an inflow of ambient seawater into the first delivery line. - the pump unit being configured for being submerged in the body of water at a first depth (d) below a surface of the body of water and arranged between the collector device (2; 2') and the receiving facility, while the collector device (2; 2') is arranged at a second depth ( t) below the surface; and - the pump unit is supported by the vessel or other structure (1; 1') via connection means (10; 27; 28); and - the pump unit is arranged at a depth necessary to obtain sufficient pressure at the pump inlet in order to avoid pump cavitation when drawing water through the first delivery line, and - the pumping system further comprises a valve fluidly connected to the first delivery line at an inlet in the vicinity of the pump unit and operable to allow an inflow of ambient seawater into the first delivery line.