Light watched the two of them. He didn't care if they were going to look for it later. He would rather wait anyway knowing he could find other ways to get to the note. The teen knew that Kira had to have at least threw his older self a punch. Why he did not know but that could lead to problems later for the both of them.
Perhaps, Kira doesn't like Raito. I wonder how it would play out next time. He sighed as he realized that he wasn't going to be going to Yuuko's anytime soon he just didn't see a reason too but for now he would wait and look around the room on his own for the note once the other two left.