Has there any tips
"Do you want to lie down here / next to me?"
Tell her you are stroking her back or pawing her head.
Works at least in cats but that's the same 🙆♂️
Put yourself down so that she still has room. And then knock next to you, where to lie down and say something like "come to me"…
And if she does that (she'll say no if she does not want that) then put her arm around her and stroke her a bit with her hand.
The last is intrusive.
Not at all! That's only intrusive if she refuses. Verbal or nonverbal.