The skirmishes took place at Piazza della Liberta in the centre of the Italian capital where up to 2,500 Lazio fans gathered late Tuesday at the spot of the club's foundation.
Shortly after midnight, an estimated 300 fans, with their faces covered, broke away from the main group and began throwing bottles and other objects at police, who responded with tear gas and water cannons.
Police said eight officers had injuries, mostly with cuts and bruising, one fan was arrested and three others detained, all with links to the club's hardcore 'Ultra' fans.
All will receive DASPO Urbano exclusion orders, a 'Sports Event Access Ban'.
Lazio were founded at Piazza della Liberta on January 9, 1900 by a group of army officers.
City rivals AS Roma were formed 27 years later following the merger of various capital clubs.
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