Have you heard of Koko the gorilla? Some claim she "mastered" sign language; others are doubtful. See:
https://www.bbc.com/news/world-us-canada-44576449
Then there are the dogs, cats, and even birds and rodents who are being trained to use word buttons to communicate. There's currently an ongoing research study "to determine whether, and if so to what degree, non-humans are able to express themselves in language-like ways."
https://cclab.ucsd.edu/studies-for-pets/
https://www.theycantalk.org/research
As far as I've seen, few of the animals involved in these learning experiments seem capable (willing?) to string together more than 3 or 4 words per phrase, though, which makes complex idea transfer harder to achieve. (Koko was said to have put together up to 8 words at a time.) That said, some animals seem to refer to dreams, understand time (before, after, yesterday, tomorrow, etc.), and creatively combine already-learned words to express different concepts unprompted by their teachers ("Upstairs water" = bath, "stranger ouch" = "I have a thorn in my foot", "tug talk" = conversation, etc.). With the help of the always-on/button-activated cameras used in the aforementioned research, animals can be seen going to their buttons when the humans are nowhere near and pressing buttons in apparent attempts to either communicate or simply narrate their experiences.
Furthermore, in terms of temperament, I've seen a pattern where more nervous animals seem somewhat more likely to try to use buttons to communicate. And I do definitely think that animals in the same species can have different personalities and temperaments.
All that to say, while I suppose "language" might need to be defined a little more for these purposes, we have managed to get animals to communicate their own ideas and feelings to us humans using human-centric means, aka words. So I would file that under talking and using symbolic language.
I realize that trying to apply a (already hotly debated) model of human information processing to animals is fraught with perils, not to mention probably not worth the time and energy. But it's interesting to me as we pry open the doors more and more to what and how our fellow creatures are thinking and processing that we might find additional similarities to ourselves while also learning new ways of seeing things.