A tunable-focusing liquid crystal lens (TLCL) cell has a liquid crystal layer arranged within a cell gap defined between substrates, a layer of optically transparent material arranged between the first substrate and the LC layer, and a liquid crystal alignment layer arranged between the optically transparent layer and the LC layer. The alignment layer is provided on a third optically transparent substrate having a non-planar shape for giving a non-planar profile to the LC layer, which substrate is obtained from a flexible sheet initially provided with the alignment layer and then formed into the non-planar shape. The lens further has a first optically transparent electrode provided on the second substrate, a second optically transparent electrode provided on either or both of first and third substrates. The electrodes are arranged to generate an electric field acting on the LC layer to change the focal distance of the LC cell. Methods for fabricating such TLCL cell are also provided