Officers responded to North 16th and Callowhill streets in Spring Garden just before 1:30 a.m. Tuesday.
The location is a block away from police headquarters.
Arriving officers were flagged down by the Uber driver. He was not injured.
The driver told police a customer fired a gunshot at him and then fled the scene on foot.
As police were investigating, a gunshot victim showed up at Penn Presbyterian Medical Center.
Police are trying to determine if that person is connected to the shooting reported by the Uber driver.
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