Elena wouldn't exactly say that she was looking for Damon. She was, she just wouldn't say it. She knew that she had to talk to him, to try and figure out the mess that she had managed to land herself into. It wasn't fair on anyone to let things drag out, least of all to the Salvatores, and while she couldn't stand the idea of hurting either of them, at the end of the day she knew that she had to make a decision. For all her insistences of "I'm not Katherine", she had still managed to fall into exactly the same mistake as her vampire doppelgänger, and though she was loathe to admit it, she finally understood why it had been so hard for her to make a decision.
"Damon," she called out softly as she walked down onto the sand and towards him, shoulders slightly hunched with her arms folded over her chest. She chewed at her lower lip for a moment or two, a few feet away from him, then gestured at the sand with a weak attempt at a smile. "Mind if I join you?"