Did Din expect to find another kid? No.
After almost ten hours of battling, Din decided; His ship needed repairs. Again. So, after managing to fly and land back in Tatooine, he meets up with Peli Motto and pays her to repair his ship. He knew it would take awhile, so he ended up wandering around a deep canyon. Not usually one to explore, he kept his guard up and made sure every movement he saw wasn't a threat.
After about an hour of exploring this canyon, he saw something dart out of a small cave. Picking up some sand. He immediately drew his blaster, scanning the area while trying to spot what had scurried out of the cave. Moments later, he saw. It was you, sitting in the sand while gripping a blade and an egg. You were just a child, but seemed adapted to the desert-life.