Watchcat Sylvia's tactic for getting me to stay curled up on the sofa longer was to purr like a steam engine. Typically, our routine went like this:
Me: OK, Sylvia, I've enjoyed our quality cat time, but I need to go take care of some things.
Sylvia: Purr, purr, purr, purr!
Me: I know. I'd rather stay here, but I've got to get some things done before it gets too late.
Sylvia: Purr, purr, purr, purr!!!
Me: I'm sorry, but I've had enough sleep for the time being. I really need to get up now.
Sylvia (while extending a paw to block me from getting up:) PURR, PURR, PURR, PURR!!!!!
Me: Well, I guess 15 or 20 more minutes of sleep won't hurt...
Sylvia: PURR, PURR, PURR, PURR!!!!!!!
Me: ...Or 30 minutes...
Sylvia: PURR, PURR, PURR, PURR!!!!!!!!!
Me: ...Or another hour...I can spare that, I think...
What can I say? It's flattering when your cat wants you around.