Open cups connected to a hollow stem, also called "sucking cups". Drinking through the nose is known from the Northern Song Dynasty.
In Jingdezhen Tao Lu translated by G. R. Sayer in 1951 there are the following entry # 65, page 90,
The source Tao Lu is citing is a Treatise on the Geography and Natural History of the South of China, dated to the eleventh century or, mid Northern Song. During the Kangxi period the nose cups (in floral form) were produced in susancai palette and sacrificial blue in lotus and peony shape as the Song practice of inhaling beverage through the nose was reintroduced as a brief amusement for the Kangxi court, somehow possibly related to the emperor Kangxi's extensive travels through the newly conquered Southern China.
However, this practice is said to have been short-lived but again becoming popular during the Guangxu period, with cups in the shape of a flower head. A larger type was decorated in the famille rose palette and a smaller, decorated in green. Known cups from this period are inscribed at the stem as, being 'remembrance cups from the autumn military exercise at Anhwei in the 34'th year of Guangxu', i.e. 1908, the year in which both the Guangxu Emperor and the Empress Dowager Cixi died.
As a personal reflection despite that these leaf formed vessels with a hollow stem do exist, I think any possible confusion with the South East Asian 'Kendi' or kundika that might have occurred during the centuries, are worth considering, since this vessel is very common and used specifically a a drinking vessel where you specifically are supposed to drink from the spout.