Multiple outlet finishing mill

In a single strand rolling mill wherein a product is rolled in a twist-free manner through a succession of finishing stands before proceeding to a laying head (20), the finishing stands are groups into at least first and second blocks (16,18) arranged respectively along first and second non-aligned paths (P₁,P₂), with the laying head lying on the second path. Switches (30,44) are employed to alternatively direct the product exiting from the first block (16) either to the second path (P₂) for continued rolling in the second block (18) prior to being directed to the laying head, or along a third path (P₃) bypassing the second block and leading directing to the laying head.