"We are ready for a full-fledged co-operation on all counter-terrorism issues with India,'' Medvedev said on Wednesday.
Medvedev, who is due to arrive in India on Thursday for a three-day visit, said the recent attacks that killed at least 171 people would not discourage him from providing assistance to India.
Fear would only mean that the terrorists had achieved their goals, he said, and that the answer was to act against them instead.
"We stand ready for co-operation in all areas with a view to preventing such acts of terrorism, investigating the recent attack, and establishing a global system of protection against terrorism," Medvedev said.
Resumption of ties
Medvedev also said that Russia was ready to expand military ties with its old ally, a regular customer for Russia's weapons makers.
He said the two nations could work together on developing a next-generation fighter aircraft and a supersonic cruise missile.
Russia also could lease a nuclear-powered submarine to India, Medvedev said.
Though he did not specify which model of submarine would be involved, local news media reported it was the Nerpa, a nuclear-powered submarine involved in a recent accident that killed 20 seamen.
The Nerpa was undergoing tests in the Sea of Japan when its firefighting system switched on in error.
Spewing freon gas asphyxiated 20 seamen and hospitalised 21. Officials blamed the accident on a seaman who interfered with the firefighting system.
Medvedev said the submarine accident wouldn't have "any negative influence on our relations,'' because it resulted from "the so-called human factor - that is poor training of some of the crew".
"It does not characterise the state of this project, of this nuclear submarine,'' he said, adding that Russia will inform India about the results of the official probe.
Russian officials said that a deal for Russia to build another four nuclear reactors in the southern town of Kudankulam could be signed during Medvedev's visit.
Russia already has been building two reactors at the site which are near completion.