Merseyside Police confirmed they received reports of an assault after 10pm last Friday, February 27, at Anfield Sports and Community Centre.
A spokesperson said a man was punched in the face by another man at the café in the centre, and was left with bruising and cuts to his face.
Police said the suspect left shortly after the incident and officers completed CCTV and witness enquiries.
A spokesperson for Merseyside Police said: "Just after 10pm on Friday 27 February we received a report of an assault at Anfield sports and community centre during the Lower Breck vs Bury FC match.
"It was reported that a man was punched in the face by another man at the café inside the community centre. The victim suffered bruising and cuts to his face. The suspect left the centre shortly after the incident. CCTV and witness enquiries were conducted by officers at the premises.
"Anyone with information is asked to contact Merseyside Police social media desk via X @MerPolCC or on Facebook ‘Merseyside Police Contact Centre’ using log 1143 of 3 March 2026. You can also report information via our website or call 101. Alternatively, contact the independent charity Crimestoppers anonymously on 0800 555 111, or via their website. In an emergency always call 999."
It comes after the club said they were cooperating with Greater Manchester and Merseyside Police's investigations into the incident, and said the club "does not tolerate" the actions of fans who don't meet their standards.
A club statement on Monday (March 2) said: "We are reviewing allegations of an incident that occurred following the conclusion of Friday’s match at Anfield Sports Community Centre.
"Bury FC takes a zero-tolerance approach towards abusive, foul, or aggressive language/behaviour and reserves the right to sanction any supporter whose conduct falls foul of the club’s supporter sanction guidelines.
"We will continue our investigations and continue to work with Greater Manchester Police, Merseyside Police and Lower Breck in respect of the allegations."