However, he exuded confidence that the US may change its stand soon.
A national executive member of the BJP, Alphons primarily came to the US to attend the Annual Prayer Breakfast with US President Barack Obama on February 7.
In addition to that he has been meeting Senators, Congressmen, officials and academicians, besides addressing speaking at the prestigious Harvard University.
"I have been telling that if they do not invite Narendra Modi now and revoke its policy of denying him a visa, it might be too late for the United States as he is headed for a much larger role in national politics," Alphons said.
He said Modi is the most business like politician he has even seen and that he saw a greater role for him in Indian politics.
Alphons said that he has not received any firm commitment from US lawmakers on the change in US policy but exuded confidence that this will happen soon.
Yesterday, US assistant secretary of state for south and central Asia Robert Blake had said in New Delhi that the United States' policy on Modi remains unchanged.
"There is no question of changing or revising or softening. We may revise (visa to Modi) depending on the Indian justice system completing cases against him," he said.
US has earlier refused to give visa to Modi over the 2002 Gujarat riots.