(CNN) One man was killed and several people stabbed during an incident in Austin, Texas, officials said Friday.

The incident began at 7:49 a.m. local time, when two people at Bennu Coffee Shop on South Congress Avenue got into an "altercation," said Sgt. David Daniels of the Austin Police Department in a news conference Friday . The disturbance escalated, with other patrons at the shop intervening and detaining the suspect.

But when the first police arrived, Daniels said, the suspect broke away and ran toward Freebirds World Burrito, a nearby restaurant.

Police chased but lost sight of the suspect. As additional officers arrived to help with the search, they began to receive calls that there had been a stabbing at the burrito restaurant, Daniels said.

Once officers got inside the restaurant, they found two victims who had been stabbed -- including one who was pronounced dead at the scene, Daniels confirmed. He was in his 20s, Austin-Travis County EMS said.

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