"I have instituted an inquiry into the incident and the special secretary of the Home Department is looking into it," he told reporters here.
Shinde, who attended the Eastern Zonal Council meeting, said the proceedings went very well.
The problems of four states -- West Bengal, Bihar, Jharkhand and Odisha -- were discussed in detail during the time.
Shinde said he was grateful to Banerjee for attending the meeting despite not being well.