The described technology is directed towards scrollable user interface containers, and allows mixing snap items and smooth items in the same container. Snap point ranges that correspond to container snap items are specified, such as by pixel values or per container item to be rendered. When because of a scroll operation a snap item of the container overlaps a boundary of a viewing port (e.g., if rendered), the scroll position is adjusted based upon a snap point range limit to snap the snap item for rendering based upon the viewing port boundary.