There's a possibility she meets a group of young Italian wizards and witches who are part of a secret magical society. They are dedicated to protecting the hidden magical places in Italy. Hermione gets involved with them and helps in their quests, while also learning a great deal about Italian magic and culture from them.
Well, perhaps in this fanfiction, Hermione moves to Italy to escape the chaos in the wizarding world she left behind. There, she starts a new life in a small Italian village. She could open a little magic shop where she sells potions and magical artifacts she's brought from England, while also learning Italian spells and incantations.
She might meet a young and talented French wizard who is a master at transfiguration. He could teach Hermione some advanced techniques and they could become good friends or even rivals in the field of magic.
She could meet her future self. This would be an interesting encounter as they could compare their experiences and knowledge. Her future self might give her some advice on things she should do or avoid in her own time. Another person she could meet is a descendant of her friends. For example, a grandchild of Harry and Ginny who has inherited their bravery and magical skills.
He could meet American witches and wizards. Maybe a friendly wizard who shows him around the American wizarding areas.
In this fanfiction, Harry might also meet Willow, a powerful witch in Sunnydale. Their interaction would be fascinating as they both have magical abilities but learned and practiced magic in very different ways. And of course, he could meet Xander, who might initially be skeptical of Harry but later become his friend as they fight side by side against the various threats in Sunnydale.
He could meet the Raikage. The Raikage might be initially skeptical of Naruto but could later see his potential. There are also other strong ninjas in Kumo like Killer Bee. Naruto might cross paths with him and they could have some interesting interactions, perhaps even training together.
In this fanfiction, Harry could meet a French witch who is an expert in potion - making. She could teach Harry some new and unique potion recipes that are exclusive to the French wizarding world. He might also run into a group of French wizarding students who are a bit skeptical of this English wizard at first but then become his friends after getting to know him better.
He might meet some lone ninjas who live in the wild. These ninjas could have unique skills or knowledge that Naruto can learn from.
She could meet Bella Swan. They might start off as a bit of an odd couple, with Bella's more reserved nature compared to Hermione's boldness. But they could learn a lot from each other.
She might meet a friendly librarian. The librarian could be an old, wise woman who has lived in the town all her life. She would show Sakura all the interesting books about the town's history and introduce her to some of the regular library visitors, which could be the start of Sakura making new friends.