Hundreds of mourners led by Italian President Sergio Mattarella gathered in St Mark's Square on a cold but sunny day.
Solesin's coffin, covered in white lilies and red tulips, arrived aboard a gondola to the famous square where the flags of Italy, Venice and the European Union flew at half mast.
A doctoral student, Solesin had lived in Paris for several years.
Her parents Alberto and Luciana, brother Dario and her fiance Andrea Ravagnani stood before the coffin.
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"Valeria was a beautiful person, studious, committed and generous -- and she was the victim of barbarism, insanity," said Venice Mayor Luigi Brugnaro, recalling that she had worked as a volunteer for the Italian humanitarian group Emergency.
Her father told the mourners: "We think of those all over France and Europe who mourn as we do a daughter, a son, a spouse, a friend."
Speakers representing the Christian, Muslim and Jewish faiths spoke at the funeral.
Italian Defence Minister Roberta Pinotti read a message from French President Francois Hollande: "We will not forget Valeria, who came to study in our country through love of life and culture.