Police Scotland received the report about the alleged incident on Murray Street at around 3.30pm on Sunday, September 5, 2021.
Two police officers arrived and were assaulted when they confronted the individual near the roundabout on Gallow Green Road.
A 27-year-old man was arrested in connection with the incident and also reportedly sustained a head injury during the incident.
He was taken for a medical assessment at Queen Elizabeth University Hospital in Glasgow.
Police have now confirmed that enquiries are ongoing but said that no members of the public were injured during the incident.
A police spokesperson said: A Police Scotland spokesperson said: "Around 3.30pm on Sunday, September 5, 2021, police were called to a report of a man in possession of a baseball bat causing a disturbance in Murray Street, Paisley.
"Officers attended and, at Gallow Green Road near the roundabout, two officers were assaulted.
"Both officers were injured with one officer receiving a serious head injury. A 27-year-old man was arrested and taken to hospital for assessment due to an injury to his head. No members of the public were injured. Enquiries are ongoing.”