Well, they could be quite confused at first. Percy and Annabeth would be out of their element in the wizarding world, and vice versa for Harry. But then, their shared traits of bravery and loyalty would bring them together. Maybe they'd exchange stories about their battles against evil. Percy would talk about his quests for the Greek gods, and Harry would share his experiences with Voldemort. And who knows, they might even learn some new skills from each other, like Annabeth learning a bit of magic or Harry getting better at combat without a wand.
In fanfiction, when Percy and Annabeth meet, they might have a super sweet reunion. Maybe they'll share a warm hug and exchange some inside jokes that only they understand. It could be in a new and exciting setting, like on a mysterious island they've never been to before.
In fanfiction, they might first be a bit shocked to see each other. Then they could start reminiscing about their old adventures. Maybe they'll decide to team up again for some college - related mystery.
They might have a really emotional reunion. Percy could give Annabeth a big, warm hug and they'd start reminiscing about their past adventures together, like the time they were in the Labyrinth or on their quests.
One possibility is that there is a bit of a culture clash. Percy comes from a world where he's used to the demigod lifestyle and Annabeth has her own set of family values from her mortal family. So when they meet the parents, there could be misunderstandings. Maybe Percy doesn't understand some of the traditional mortal family things that Annabeth's parents expect, like formal dinners or certain etiquettes. And Annabeth might have to explain Percy's rather unorthodox upbringing to her parents, which could be quite an adventure in the fanfiction world.
Well, perhaps Percy and Annabeth would be really intrigued by the Kanes' magic. The Kanes' use of Egyptian magic is quite different from the Greek powers that Percy and Annabeth are used to. They could start to exchange knowledge about their respective mythologies and magic systems. This could lead to some really interesting adventures where they combine their powers in unique ways to overcome obstacles.
They might go on an adventure together. Maybe they discover a hidden beach or a mysterious cave. They could also have some really deep conversations about their past experiences and their future plans.
Well, they might have to hide their demigod powers. For example, Percy could be really tempted to use his water - controlling abilities when they are near a big fountain in front of mortals, but he has to hold back. Annabeth would be using her wisdom to come up with quick lies if the mortals start asking too many questions about their strange behavior or the weapons they carry.
They might start collaborating on a big project. Since they are both intelligent and resourceful, they could combine their skills to solve difficult problems at work.
Well, in fanfic, when Percy and Annabeth meet, they might go on an unexpected adventure. Maybe they find a hidden place in their city that no one else knows about and have to face some strange creatures there. It could be a really exciting encounter full of danger and mystery.
Well, in the fanfiction, Percy's friends might be in awe of Annabeth's intelligence. She could lead them in some sort of adventure or strategy planning. Maybe they initially have some misunderstandings but then come to respect her as they see how much she means to Percy.