Sheldon Barr, Venetian Glass Confections in Glass 1855-1914 page 117, shows a jug (amongst a variety of "mosaic glass" items) which has very similar cane structures and colours to the "sleeved, daisy centred" cane in Dirk's jug. Page 119 of the book describes the pieces as being 1900-1914.
Similar canes may have been used later, but is there any real evidence of such use in Fratelli Toso work?