The 27-year-old Brandon Williams was declared dead in a hospital after Kelly's Tales.
The suspect remains at large, said Jessica McBary, spokeswoman for the Prosecutor's Office at St. Joseph.
Five people are in a hospital in a steady state, police said in St. Joseph. The remaining victims were treated and released.
The incident happened the same day. Town Hall with South Bend Police Chief.
The event, led by NAACP South Bend Chapter president Michael Patton, was expected to outline police investigations.
Buttigieg highlighted South Bend's leadership
for the presidential campaign path. But he has been criticized in recent weeks after an officer shot and killed a man who claimed to have entered a car with a knife in his hand.
In response, Buttigieg canceled his attendance at the Democratic National Committee event on Monday as well as a series of fundraisers in California on Tuesday and Wednesday
Since then, he has ordered the Chief of Police to order all South Bend police officers to turn on their cameras when interacting with civilians while on the job.