I'm so glad you posted this
I had to look for a youtube video to see what "trilling" was. I didn't know it had a name (in English at least). I am very surprised because Ice does the same thing!
It is definitely an attention thing, ad you have said. Ice does it when he tries to wake me up, or when he comes to cuddle and sleep in the bed with us.
I agree it is not breed specific, Ice is a DSH, completely white. He has Siamese ancestors, I know his mom, dad and grandma. And he is very, very vocal. But that's about it regarding breeds.
But there's something else he does I just can't figure it out. I was very sick in bed one day, sneezing like crazy. With one particularly loud sneeze, Ice woke up and started chirping -and he looked very annoyed. It was very amusing... I continued sneezing (for real) and he started chirping louder and louder. Eventually he left the room, chirping down the hallway (and I was LMAO -what a mean mom)
If i do a fake sneeze, he'll start chirping too. I have no idea why. I have googled it and nobody seems to have an answer. I have started thinking it has something to with the hiss-like sound sneezes make....