A local youth had received bullet injury in the April 2 incident.
"We are taking the incident seriously, there is no pressure on the government and the law will take its own course," the chief minister said in reply to a calling attention motion moved by Suresh Bhardwaj (BJP).
Singh said on the statement of the injured, Kashish Khanna, at Indira Gandhi Medical College hospital, an FIR was lodged under various sections of IPC and Arms Act.
Singh said that another FIR had been lodged into the case against the youths for assault on government servant while on duty.
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Earlier, BJP MLA Suresh Bhardwaj said the incident projected the international tourist destination, Shimla, in bad light.
He said it also raised question mark over the behavior of the PSO (a cop) of a minister, who opened the fire over a quarrel on parking in the state-run hospital, thinking that he would get away with it, being PSO of an important man (a minister).