An espagnolette fastening (20) for a window or door member, and which comprises a pinion housing (1) for securement in a closing face of said window or door member, a primary pinion (2) rotatably mounted in said housing (1) and adapted to be operated by an actuating handle (not shown) to rotate between fastening and release positions, a pair of oppositely movable elongate elements (4, 5) which are slidable longitudinally between fastening and release positions, fastening elements (8) provided on said elongate elements (4, 5) to co-operate with respective keeper elements (not shown), and a mechanism mounted within said housing (1) and coupled with said elongate elements (4, 5), said mechanism being operative to move the elements (4, 5) in relatively opposite directions upon rotation of said primary pinion (2); characterised in that said mechanism comprises: a secondary pinion (3) rotatably mounted in said housing (1) and in mesh with said primary pinion (2) to be rotated in a relatively opposite direction; a first link (6) pivotally interconnected between the primary pinion (2) and one of said elongate elements (4, 5); and, a second link (6a) pivotally interconnected between said secondary pinion (3) and a second one of said elongate elements (5).