Report from 2015.
"In 2015, the frozen remains of two newborn P. spelaea cubs were found by researchers in Pleistocene-age permafrost in the Russian republic of Yakutia, Eastern Siberia. A third youngster was discovered in the same region in 2017, during mining works. The three small cubs were preserved in such pristine condition that scientists brought de-extinction  talks to the table." Source: The Vintage News (2018). More information here.
 De-extinction, aka resurrection biology or species revivalism, is a proposed process for bringing back extinct species or reviving endangered species, usually by cloning.
According to Wikipedia, the two cubs unearthed in 2015, "estimated to be between 25,000 and 55,000 years old, were discovered close to the Uyandina River in Yakutia, Siberia in permafrost. Research results indicate that the cubs were likely barely a week old at the time of their deaths, as their milk teeth had not fully erupted. Further evidence shows the cubs were hidden at a den site until they were old enough to join the pride. Researchers think that the cubs were trapped and killed by a landslide, and that without air, the cubs were preserved in such good condition. A second expedition to the site where the cubs were found was planned for 2016, in hopes of finding either the remains of a third cub or possibly the cubs' mother."
A third well-preserved cave lion cub was discovered at a different location in 2017. According to the Siberian Times (Nov. 2017), "[t]he prehistoric animal was found in permafrost on the bank of Tirekhtykh River of the Abyisky district of Yakutia by a local resident Boris Berezhnov." The remains, thought to be around 50,000 years old, are also so well-preserved that there has been talk of trying to clone the animal.
Note: Chirpy pop-science presenters are an abomination.
One part of the story which is missing from most of the mass media reports is that the third "cave lion cub" may not be a cave lion after all:
"A Russian man hunting for mammoth tusks in Eastern Siberia made an unexpected discovery in September: the incredibly furry, slightly squished mummy of a cat from the last ice age. Scientists are celebrating the rare discovery, but they're not certain on one major point — whether the mummy is a cave lion cub or a lynx kitten, paleontologists told Live Science." Source: Live Science (2017). It's possible that the cub is a prehistoric Eurasian lynx. I'm not sure where the question stands as of Oct. 2018.
Cloning these cave lions or lynxes or whatever they were probably isn't possible, at least in the foreseeable future, according to several experts quoted by Live Science.