Chopra wanted to show the film to Modi before the film's April 10 release which could not be fixed.
Modi, however, sent a message to Chopra thanking him for his invitation and wishing the film well, the filmmaker's spokesperson said.
Besides directing and producing the film, Chopra, 62, has also co-written it with Abhijat Joshi.
Set in the shadows of US-Mexico border gang wars, 'Broken Horses' is a thriller about bonds of brotherhood, laws of loyalty and futility of violence.