It is possible to get the [U, V] from a point [X, Y, Z] on the face (by the way, vertices or not). This is done via the UVHelper.
I did not find a way to do the reverse, that is, given an [U, V], retrieve the corresponding point [X, Y, Z] on the face plane.
There should be a texture transformation matrix between UV and model coordinates under the cover, but apparently, there is no method to get it.
PS: Actually, I can do it when the texture is not distorted (even if rotated or sheared), but not when it is distorted in perspective.