Sgt. Wes Crume said Andrew Roger Rossi is suspected of shooting a 47-year-old man early Sunday.
Anyone who encounters Rossi or knows of his whereabouts is asked to call 911 or Crimestoppers at 247-1112.
"We don't want anyone to approach him because we don't know his state of mind," Crume said.
The incident occurred around 1:20 a.m. in an alley somewhere within Ignacio town limits, Crume said. The exact location, as well as the overall circumstances of the incident, remain unclear.
"We're getting a lot of confusing stories that don't match up and not a lot of cooperation," Crume said of the investigation.
Crume said because of the hour, there wasn't any traffic out and there may not have been any witnesses other than those involved in the incident.
"It was an isolated event," he said.
Authorities have not released the victim's name. Crume said the man is expected to have a "slow but full recovery."
Crume was not able to immediately provide a photograph of Rossi but said one should be made available soon. Rossi is a convicted felon, he said.
Anyone with information about the shooting is asked to call Southern Ute Police Department dispatch at 563-0246.