Abstract: Equipment (1) with which to fuse to each other at least two superposed laminar bands (2) and comprising two compressing members (3, 4) subtending between themselves a compression gap (5) through which said laminar bands (2) are guided. Additionally the equipment (1) comprises a laser (7) configured in a manner to transmit laser radiation (8) passing through the first compression member (3) and the compression gap (5) in the direction of the second compression member (4). According to the invention, the second compression member (4) is constituted by a resiliently borne sheetmetal-like support (9) which mechanically resiliently loads the laminar bands (2) in the compression gap (5) in the direction of the first compression member (3).