The Leicestershire Police officers may face charges of potential misconduct as a result of how they investigated allegations against the triple killer the month before Grace O’Malley-Kumar, Barnaby Webber and Ian Coates died, the Independent Office for Police Conduct (IOPC) said.
Two constables and a sergeant have been told they are being investigated over how inquiries were progressed, the IOPC said.
It is claimed that Calocane assaulted two colleagues at an industrial estate in Kegworth, Leicester, in May last year.
The following month, he went on to kill students Mr Webber and Ms O’Malley-Kumar, along with caretaker Mr Coates, in a knife rampage in Nottingham.