Abstract: A textile machine has a support carrying a number of yarn dispensing spindles. The machine includes an automatic winding device movable selectively to each of the spindles for rewinding yarn on each spindle. The winding device includes a yarn supply and elements which guide the yarn to the spindle to be rewound. In one embodiment, the winding device includes an articulated arm which removes the spindle from the support, brings it to the winding device for yarn to be rewound upon the spindle and returns the spindle to the support. In a second embodiment, an empty spindle is removed from the support by one arm and a second arm delivers a full spindle to the support. In a third embodiment, the automatic winding device moves to a spindle. Then a motor associated with the respective spindle operates at a different rewind speed and yarn is supplied to the spindle spinning at rewind speed to wind the yarn upon the spindle.