Abstract: The invention relates to a base (2) for restingly receiving tiles to be cut, comprising: a surface (13) for restingly receiving a tile; and a blade (4) for encountering a lower surface of the tile during a stage of scoring the tile. The rest surface (13) is provided with a depression or slit (12) of such dimensions as to contain a portion of a rotary cutting disc (14) of the tile when the tile is resting on the rest surface (13). The invention also relates to a tile-cutting machine (1), comprising the base (2). The invention further relates to a kit and a method for adapting a manual tile-cutting machine to use with a group comprising a rotary cutting disc (14).