The incident, which occurred last evening, was said to be the fallout of the recently-held Gram Panchayat election in which the left party reportedly lost one seat.
The two groups attacked each other with stones and sharp-edged weapons in Zari Palav pada area, police said.
Police have registered complaints and cross-complaints under various sections of IPC, but yet to make any arrest.
Talsari MLA Pascal Dhanare of BJP claimed that the attack was the handiwork of the CPM members.