The VALORANT Team Deathmatch map named after an Italian-style public square is Piazza.
“Piazza” is the Italian word for a public square, usually a central urban gathering place surrounded by buildings, cafés, shops, or civic landmarks. The name gives the map an architectural and Mediterranean flavor, even though the setting is designed for a fast multiplayer firefight rather than as a literal historical recreation.
Piazza was one of the three maps created specifically for Team Deathmatch when the mode launched in Episode 7, alongside District and Kasbah. Team Deathmatch is a 5v5 mode with respawning, regenerating abilities, weapon-loadout choices, and a team kill target rather than the economy and round structure of standard VALORANT.
A common mix-up is confusing Piazza with the mode itself or with a traditional competitive map. Piazza, District, and Kasbah are dedicated Team Deathmatch maps; they are not the same map pool used for ordinary five-on-five Spike matches.