The loom includes a weaving area (18) into which weft threads are inserted into at least one upper channel and one lower channel, each of these weft threads being inserted between at least two warp threads by at least one weft insertion element: first element for focusing on one of these channels and determining the position of the warp threads relative to the weft thread, and second element for inserting at least one binding thread (16) above, between and below these channels. The loom includes at least one element for gripping the at least one binding thread and element for moving the at least one gripping element out of and into the weaving area (18) so as to place the at least one gripping element in contact with the at least one binding thread and to allow the drawing of the at least one binding thread.