A dispute broke out between two Class 10 students, both 15 years old, over occupying a bench in the exam hall located on the fourth floor of the school building, the official said.
Students were returning from a sports competition participation and they belonged to a government residential school in Kavthe Mahakal district.
The injured boy was admitted to nearby Dahamunda Primary Healthcare Centre. The incident happened at Dahamunda Nodal High School in Bhograi block of Balasore district.
The university was represented by Dr Dominic Mao and Dr Andrea Wright as the agreement was signed in chief minister Pramod Sawant's presence.
These schools, serving thousands of economically weaker students, have awaited regularisation since 2008 while facing issues with the Directorate of Education, MCD, and DDA.
The matter will be heard by a two-judge bench on January 15 at 2 pm. There are 124 petitions, including the one filed by the state government, pending in the top court.
WBPTTA state president Pintu Parui questioned how the chief minister was unaware of the proposal when the state primary council publicly announced it at a press conference.