The victim, who has been named locally as Brian McCourt, was shot in the abdomen in Banbridge on Friday evening.
The patient, aged in his 40s, was targeted shortly after 8pm in a car park on Rathfriland Road.
He was sitting in a taxi when a masked gunman approached and opened fire.
A suspect has been arrested and remains in police custody, where he is being quizzed on suspicion of attempted murder.
Forensic officers in white clothing remained at the scene on Saturday as they gathered evidence.
A grey car, with its passenger window shattered, remained at the location.
Detectives are investigating a link between a burning vehicle which was found near to where the shooting happened.
The PSNI initially believed the assailant made off in a Citroen car. However, new evidence emerged suggesting the vehicle was a silver Peugeot.
The burnt-out car found in the Drone Hill Road area of Corbet matched that description.
“A 46-year-old man arrested on suspicion of attempted murder and conspiracy to murder remains in custody at this time, assisting detectives with their enquiries,” Detective Inspector Foley previously said.
On Sunday, the PSNI confirmed there has been no change in the victim’s condition and that the suspect is still being questioned.
A spokesperson for the Northern Ireland Ambulance Service (NIAS) said it received a 999 call at 8.06pm.
“NIAS despatched a rapid response paramedic and an emergency crew to the incident,” they added.
“Following assessment and initial treatment at the scene, one patient was taken by ambulance to RVH in Belfast.”
The Drone Hill Road and Rathfriland Road, including its off-slip and on-slip to the A1 dual carriageway, was closed for a considerable time following the incident which has been condemned by a number of politicians.
Ulster Unionist leader Doug Beattie has appealed to anyone with information about the “shocking incident” to come forward.
“Guns do not belong on our streets,” he added.
“If you have any information regarding this incident please get in touch with the PSNI.”
DUP MP Carla Lockhart urged the public to allow the PSNI time and space to investigate “this serious incident”.
Alliance MLA Eoin Tennyson insisted those behind the shooting do not represent the wider community in Upper Bann.
“I utterly condemn this sickening attack, as will any right-thinking individual,” he added.
“My thoughts are with the victim of this terrible incident, who I hope makes a full recovery from his injuries.”
Mr Tennyson said the entire community has been left in a state of shock as he too warned “there is no place for guns on our streets”.
Sinn Fein councillor Kevin Savage said “those responsible need to desist” as he appealed for witnesses to contact police.
Detectives have asked anyone who saw what happened or noticed anything suspicious, to contact 101.
“We would especially like to hear from anyone who may have any CCTV, dash-cam or mobile footage of what happened,” DI Foley added.
“This information could greatly help with our enquiries.”
William Turner is a seasoned U.K. correspondent with a deep understanding of domestic affairs. With a passion for British politics and culture, he provides insightful analysis and comprehensive coverage of events within the United Kingdom.