The incident took place on late Monday afternoon at Somaiyas' residence in Neelam Nagar building in Mulund East, after which, Neil (26), was taken to a nearby private hospital.
"Neil Somaiya suffered a serious hand injury after he accidentally hit a glass table-top at his home. He was in an inebriated condition when the incident took place. His wrist suffered an injury and started bleeding," a senior police officer said.
Navghar police has recorded Neil's statement in which he told them that it was not a suicide attempt, but just an accident.
Kirit Somaiya represents Mumbai North-East in the 16th Lok Sabha.
According to sources, Neil helps his father in political activities and is planning to contest next year's Mumbai civic elections.