Police say the violence is not being treated as a terrorist attack and officers are continuing to hunt for the gunman.
Trelleborg has been placed on lockdown by armed cops with reports that at least four people suffered gunshot wounds. The shooting happened in the centre of the city, which is home to around 30,000 inhabitants.
Another neighbour told the newspaper: 'There were many shots.
Police spokesman Fredrik Bratt said: 'We have received several reports of a shooting in Trelleborg.
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Security officials have blocked some areas and are conducting "an investigation".
Witnesses reportedly said they heard a "loud bang" in the area.
"Four people have been hospitalised in Malmö and Lund", authorities said in an update 45 minutes after the shooting but were unable to confirm the severity of their injuries. "We saw someone running outside", an eyewitness told the Swedish publication Expressen.
Police have cordoned off the area, allowing ambulances through. Forensics team and a canine unit have also been dispatched to the scene of the incident.