The US application, which was filed late last month, is for the registration of the name Samsung Galaxy Gear as a trademark. Included in the document is a 72-word description of the devices to which the new name could apply.
It details the possible products as: "Wearable digital electronic devices in the form of a wristwatch, wristband or bangle capable of providing access to the internet and for sending and receiving phone calls, electronic mails and messages."
The description concludes by saying the devices are "for the wireless receipt, storage and/or transmission of data and messages and for keeping track of or managing personal information; smartphones; tablet computers; portable computers".
Korean website Moveplayer has published several images, apparently from patent filings made at the Korean Intellectual Property Office since the start of 2013.
The images show three variations on a smartwatch design based on a curved screen almost the full width of the band that curls around the wearer's wrist.
Microsoft, Google, Samsung and Sony have built smartwatches for years — with limited success. These smartwatches tend to function as a second screen for a smartphone — for example, offering a way of reading emails or other updates while the phone stays in the user's pocket.
But as the smartphone market becomes saturated, tech companies are looking at new form factors, and this trend, along with the success of the Kickstarter-financed Pebble smartwatch — and suggestions that Apple is also working on such a device — have reignited interest in smartwatches.