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Officers say they took one person into custody soon after the incident, but two others bailed out of a vehicle near Little Havana.
Miami Police say that have arrested a total of three people after they allegedly stole a woman's purse before fleeing the scene.
Officers say they took one man into custody soon after the incident - taking place at a bus stop on SW 12th Avenue and 7th Street - but two others bailed out of a vehicle near the intersection of NW 11th Avenue and 4th Street in the Little Havana neighborhood.
Police say both suspects - a man and a woman - were later captured and arrested for their roles.
"This is a byproduct of what happens when you’re out in the streets trying to do your job," Miami PD Chief Jorge Colina. "Fortunately, they saw the vehicle and her job was to pursue that vehicle and they did."
Officials say one officer did fire their weapon during the search, but no one was struck.