He grins at that and nods, reaching into the basket he'd brought and fishing out a small box. He rattles it at her. Inside the box is a delicate silver necklace. "You're going to have to come get it though," he teases her

Peeta wants to talk to her, to tell her things about himself, to talk to her about everything. He doesn't want to have secrets with Katniss so he'll gladly tell her everything. He wants that sort of close relationship with her.