When Daniel leaves Dae Hyun's store, there's a young woman playing a violin outside. She looks bedraggled, but her violin is pristine. Daniel thinks the music matters to him, so he drops a dollar in her hat. He ignores the sign telling her story and thinks about what his dad said about the relationship with Natasha not working out. Daniel reasons that his dad might be right, but he wants to be with her, especially if today is all they have. He laments that he didn't get her phone number or her last name. He searches for her on Facebook and gets five million hits. Daniel decides to head back to her lawyer's office, hoping she's still there.
When Daniel ignores the violinist's sign, he's ignoring what is probably an emotional, compelling story. This shows that Daniel is now beginning to take some of Natasha's habits to heart. Meanwhile, the fact that both Natasha and Daniel decide to pursue each other at the same time shows that destiny absolutely exists.