Apple is reportedly working on iPhones with curved displays and enhanced sensors designed to detect different levels of pressure.

Flexible displays have been a hot topic for a good while, but it was not until this year that the first curved display smartphones materialized. Samsung and LG were racing against each other to be the first company to bring such a device to the market.

Samsung eventually beat LG to the punch by launching its Galaxy Round handset first, boasting a curved display. LG followed shortly with its own G Flex curved display smartphone, signaling a new trend for the already fiercely-competitive smartphone market.

According to a new report, Apple wants in on all the fun and is developing its own curved-glass display iPhones. Citing an anonymous source familiar with the plans, Bloomberg claims that Apple has two curved-screen iPhone models in the works - one with a 4.7-inch screen and another with a larger 5.5-inch display. Both models would reportedly use glass that curves downward at the edges, noted the publication.

Most of Apple's iPhones so far have used 3.5-inch displays, with only the newer iPhone 5, followed by the iPhone 5S and iPhone 5C, using slightly larger screens of 4 inches. If this new report proves to be accurate, Apple's upcoming curved-glass iPhones would rival phablets such as the Samsung Galaxy Note 3, which rocks a massive 5.7-inch display.

The tipster further told Bloomberg that the new iPhones would likely make their debut sometime during the third quarter of next year. The source noted that Apple was also testing "pressure-sensitive technology," but it would not be ready in time for the next iPhone launch.

Samsung's Galaxy Round smartphone, currntly bound for South Korea, sports a large 5.7-inch display. LG's G Flex is also about to make its debut in South Korea, followed by a European release. While it remains unclear when such handsets would make their way to the wider U.S. public as well, one thing's for sure: curved display technology has become a trend among tech heavyweights, the race is on and it's only about to get hotter.

Keep in mind, however, that no curved iPhone plans are official just yet. Apple has not confirmed such endeavors, so it is advisable to take things with a grain of salt for now.