Prime Minister Dr Manmohan Singh on Thursday invited US President George W Bush to visit India, saying it would be a "milestone" in bilateral ties.
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"I hope that we will have the opportunity to welcome you in India very soon," he said in a letter to Bush, congratulating him on his re-election to White House.
"My good wishes as well as those of the government and the people of India are with you as you prepare to lead your great nation, drawing on a strong mandate, in the years ahead," the prime minister said.
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The prime minister said India and the US must deny any encouragement to religious extremism and terrorism and resolve to eliminate them as an acceptable instrument of state policy.
He pledged India's full support to combat terrorism and proliferation of weapons of mass destruction to strengthen international peace and security.
Dr Singh also underlined the need for charting out an economic roadmap that would be an integral element of broader relationship between the two countries.
Recalling his discussions with Bush in New York in September that focussed on the overriding priority of making the future more secure, Singh said: "As partners against terrorism and WMD proliferation, we will stand by the United States in strengthening international peace and stability.
"The global war against terrorism and efforts to combat WMD proliferation will benefit enormously from your steadfast resolve and leadership," Dr Singh said.
The prime minister referred to the "successful" holding of presidential elections in Afghanistan and said this was in consonance with the vital interests of both India and the US.
About Iraq, he said: "We all have a stake in the early return of Iraq to the international mainstream as a democratic country. India is ready to contribute to the electoral process early next year."