A firing incident was reported in the Tis Hazari court premises in New Delhi on Wednesday, the police said, adding that two groups of lawyers were allegedly involved in opening fire.
A video of the incident that surfaced on social media showed a person firing in the air while some people were seen throwing stones and wooden planks.
Police are probing both the cases and efforts are on to trace the missing 9mm pistol, they said.
Lawyers alleged that two of their colleagues were injured, including one in police firing, but the police denied that it had opened fire.
The police have arrested two men who worked at the eatery in this connection.
Delhi Bar associations' members said litigants are not allowed in due to security reasons.
BCI Chairman Manan Kumar Mishra said in a letter that sparing such "rowdy elements" is tarnishing the image of the institution and it is the inaction and tolerance of bar bodies that encourage these advocates, which would ultimately result in "contempt proceedings by the high courts or Supreme Court".
It was in January 1988 when Delhi Police arrested an advocate named Rajesh Agnihotri, after he was apprehended by the students of St Stephen's College for allegedly stealing from a ladies common room.
The minister deleted his tweet and wrote, "It's not a question of supporting any group. Just let's not take the law into our hands."
The protests were triggered by the two attacks on their colleagues.
Taking suo motu cognisance of media reports on the incident, the court initiated proceedings at 1 pm, Registrar General (RG) Dinesh Kumar Sharma said.
The Chief Justice, while speaking at the farewell reference organised by the high court, said that judges are only interpreters and are not here to make the law or to evolve a policy and a balance has to be maintained between judicial activism and restraint.