The advantage of Bridgman anvil pressurecells is their wide pressure range and the large number of wires which can be introduced into the pressure chamber. In these pressurecells, soft solidpressure mediums such as steatite are used. We have succeeded in adapting the Bridgman cell to liquidpressure mediums. With this breakthrough, it is now possible to measure in very good hydrostaticpressure conditions up to 7GPa, which is about twice the pressure attainable in piston-cylinder cells. The pressure gradient in the cell, estimated from the superconducting transition width of lead, is reduced by a factor of 5 in the liquid medium with respect to steatite. By using nonmagnetic materials for the anvils and the clamp and due to the small dimensions of the latter, our device is specially suitable for magnetotransport measurements in dilution fridges. This pressurecell has been developed to measure very fragile and brittle samples such as organic conductors.Resistivity measurements of (TMTTF)2BF4 performed in a solid and a liquidpressure medium demonstrate the necessity of hydrostaticpressure conditions for the study of organic conductors at high pressures.