(Hypothetically.) If someone/something is telepathic, do they have to speak the same language as a person they would communicate with?

I hear people who say they’ve had an extraterrestrial interaction, describe their alien visitors as communicating with them telepathically.
Often, “telling” the people, comforting things. Like “we mean you no harm.”

Does this mean that the aliens spoke the languages of those they telepathically “communicate” with?
How else, would people know what the alien is “saying?”

Is precise “communication,” possible with a language barrier?