His own children could be among the first students. They would bring their own experiences of growing up with Harry Potter as a father, and also their unique magical abilities. And Neville Longbottom's children might also be there. Neville has always been a great friend of Harry's and his kids would inherit Neville's strong sense of justice and love for plants, which could add a different dimension to the student body.
Well, it could be some students who were rejected or bullied at other magic schools. Harry, knowing what it's like to be an outcast, would welcome them with open arms. Maybe there are students who have shown extraordinary magical abilities but were not given the right guidance at their previous schools. These students would be eager to learn from Harry and his team of teachers, and they would form a unique and motivated group within the new school.
I think some of the orphans of the wizarding war could be the first students. Harry, having lost his parents himself, would want to give these kids a chance at a proper magical education. Also, children from small and marginalized wizarding communities that have been overlooked by Hogwarts in the past. These kids would bring diverse magical traditions and cultures to the school, enriching the learning environment for everyone.
Maybe some young mutants that Harry discovers during his travels in the Muggle world. He could sense their powers and offer them a place at his new school.
In the fanfiction, the first students could be a mix of young wizards and witches who have shown exceptional magical abilities but didn't fit into the traditional Italian magical schools. There might be a young wizard who has an affinity for ancient Roman magic but was not encouraged in his previous school. And a witch with a talent for transfiguration but was bullied in her old place. Harry Potter's new school in Italy could be their new home, where they can explore their magic freely.
He could meet a brilliant but eccentric teacher. This teacher might be an expert in a very rare branch of magic that Harry has never heard of before. The teacher could take Harry under their wing and teach him things that Dumbledore or the other Hogwarts teachers never did.
It could be a mix of students from different houses. In Hogwarts, students from all four houses come together for classes. Harry, having experienced the unity and rivalry among the houses, would be able to handle the diverse group of students well. He might encourage more inter - house cooperation in his classes, breaking down some of the traditional house rivalries.
Perhaps it's a shy and introverted first - year who has some sort of hidden power. Harry spots this potential in the student and adopts them. The first - year could be from a pure - blood family that has fallen on hard times. His or her name could be Oliver, and Harry sees in Oliver a chance to change the negative image some pure - bloods have.
It could be a jealous Slytherin student who manages to get hold of a powerful, cursed object. This object, when activated, causes the spell that turns students into Smurfs. So this Slytherin student would be the main villain as they try to disrupt Hogwarts and get Harry in trouble.
It could be a group of former Death Eaters who escaped justice and are now plotting to take over Hogwarts again. They see Harry Potter training the students as a threat to their plans.
It could be a half - blood student who has a special gift of communicating with creatures. This student is often in trouble for sneaking out to visit the school's creatures at night. But when a crisis hits the creature population in the school, like a sudden attack by dark - magic - influenced creatures, they use their gift to help save the day. They become a hero among the students and teachers alike, changing the way the school views those with different abilities.
It could be a new Death Eater in disguise who has infiltrated Hogwarts under a false identity. They could be causing trouble by secretly spreading dark magic among the students.
There could be an older, wise ghoul teacher who serves as a mentor to the students. This character could have a lot of knowledge about the school's history and the ways of the magical world of ghouls.