One of our Persians wandered in to my office at home. He'd walk
through the door and look at me then walk out. He repeated it several
times before I finally followed him out.

I grabbed a little rubber ball and went to the kitchen. I rolled the
ball down the lino and he chased it. Now when he is down the other end
I bounce the ball. He tries to catch it and normally manages to
prevent it from reaching me. Once he has it under control he'll pat
it back to me so I can bounce it to him again :-)