Election Results 2014: Barack Obama Congratulates Narendra Modi, Invites Him to U.S.

Asked if Mr Modi's visa revocation was "a wrong step taken" by the previous George Bush administration, Mr Carney parried: "I can tell you that the Prime Minister of India will be welcomed to the United States."

"And I would also note that U.S. officials, including Ambassador (to India Nancy) Powell, have met with Modi so he is certainly not unknown to us."

Carney also thanked the outgoing Prime Minister Manmohan Singh "for the role he played in transforming our strategic partnership during his 10 years in office."

"What we do anticipate is moving forward with the new government and strengthening a relationship that has already been strengthened significantly over the past years with Prime Minister Manmohan Singh at the helm in India," he said.

"I think the future is bright," Carney said noting "the U.S.-India partnership enjoys broad support across party lines in both of our countries.

"And I am confident that we will continue our successful and productive partnership with the new Indian government."

At the State Department Psaki also congratulated " Narendra Modi and the BJP on its victory in winning a majority of seats in India's historic national election, which saw more voters cast their ballots freely and fairly than in any election in human history."

Secretary of State John Kerry has also offered his congratulations, and "looks forward to working with the BJP on expanding our shared prosperity and security," she said.

"Once a new Government is formed, we look forward to working closely with the Prime Minister and the Cabinet to advance our strong bilateral partnership," Psaki said.