Singh thanked Russia for its support "in lifting international restrictions on nuclear co-operation and assisting India in the expansion of our nuclear energy programme", and said nuclear energy was emerging as the most important aspect of India and Russia's "strategic partnership".
Energy co-operation is vital for India, which has struggled to supply adequate power to its burgeoning economy that has been growing at more than eight per cent in recent years.
Despite India's rapid development, power cuts remain frequent across the country.
The two countries also signed a series of agreements on scientific, space, aviation and economic co-operation, including giving India access to Russia's satellite navigation system, GLONASS.
India and Russia also signalled their intent to forge ahead with military ties with two new arms deals: an agreement allowing the licensed production of Russian aircraft engines in India, and another for the joint development of a military transport aircraft.