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Three Greek and five Croatian fans were also injured and being treated, and 98 people were arrested over taking part in the violence.
Greece is aiming to kick off its vital summer season by mid-May.
Maguire appeared in court on Saturday following two days in detention over a brawl on the island of Mykonos. England international Maguire, 27, will respond to the charges against him on Tuesday, according to local police.
There is almost no other city in the world which is more loaded with history than Athens.
Greece's tourism industry is vital to the country's economy, accounting for about a quarter of the country's GDP.
Greece on Friday cancelled the remainder of the domestic Olympic torch relay through the country to avoid attracting crowds a day after the Tokyo Games flame was lit in ancient Olympia.