Need help finding anime name.

I remember watching one of the episodes of this anime somewhere between 2007 and 2012. I only remember one fragment where some girl's friends come to visit. Then, during a conversation with her friends, a flashback begins where this girl falls from a tree, but a guy catches her. It seems he said that he would never let her go. He held the girl's hand until he almost lost consciousness, until the adults came to help. This is the only part about which I have the least doubts, but perhaps even the memory of this is already distorted. Thanks in advance to those who can find this.