Shevchenko said India's position was "very important" to Ukraine at a time when European nations were rallying behind Washington's belief that Russia might have aided separatist rebels in eastern Ukraine who allegedly shot down a Malaysia Airlines flight over Donetsk on July 17.
"We hope India would not view Ukraine in terms of enemy of my friend," Shevchenko told IANS in an interview.
He appealed to India not to let its strong, diplomatic relationship with Russia come in the way of condemning the latter's "aggression" against Ukraine.
"We believe that thinking in terms of 'enemy of my friend' leads us nowhere in international relations. We are all part of one family. India abstained from voting on the UN General Assembly resolution on the territorial integrity of Ukraine, but we hope that India's Ministry of External Affairs would find other ways to support us," he said.
He criticised India's former National Security Advisor Shivshankar Menon, who had spoken of Russia's "legitimate interests" in the eastern European country.
"Hundreds of civilian victims in Ukraine are the result of incrementing Russia's so-called legitimate interests. We hope Indian politicians understand the situation better than they did two-three months before," Shevchenko said.
He condemned Russia for "supervising" separatist rebels and called on European nations to tighten sanctions against the permanent member of the UN Security Council.
"We expect Europe to take a harder stance on Russia's aggressive action against Ukraine. Shooting down the Boeing 777 could be a tragic accident. But it is also the consequence of turning a blind eye to Russian annexation of Crimea and its other state sponsored terrorism," Shevchenko said.
Flight MH17 was flying from Amsterdam to Kuala Lumpur when it crashed after being hit by a missile in Ukraine near the Russian border on July 17, killing all 298 passengers and crew on board.
Ukraine has maintained that the strike was a handiwork of its separatist rebels in the eastern region, the People's Republic of Donetsk, which is aided by Russia. The US and several of its closest allies too accused Russia of aiding and abetting, if not actually perpetrating, the heinous crime.
Shevchenko said Ukraine has "plenty of evidence" to prove Russia's intervention in Ukraine.
"Our intelligence interceptions prove that the Russian Federation has been generous enough to supply its proxy with a large number of tanks, armoured vehicles, rocket launchers and advanced air-defence systems. After liberating a number of Ukrainian towns and cities, large depots of Russian grenades and mines were discovered, including accompanying documentation that Russian centres were recruiting volunteers to fight against Ukraine," Shevchenko maintained.
He further said that key separatist leaders of "so-called Novorossiya", including its prime minister and minister for defence, are Russian citizens and acting under the supervision of Russian intelligence.
Novorossiya (New Russia) is an area north of the Black Sea, an unrecognised confederation of the Donetsk People's Republic and the Lugansk People's Republic.
Admitting that "nobody wants to corner Russia", Shevchenko urged global powers to ensure that international law and order is maintained.
"There are already some sanctions against Russia and their purpose is to force Russia to withdraw from Ukraine. We expect that sanction regimes will be tightened in case Russia refuses to oblige," he said.
Speaking about the investigations into the crash, Shevchenko said that although the rebels have handed over the aircraft's black boxes to Malaysian representatives, they are unwilling to cooperate with international investigators.
"They (rebels) possessed the black boxes for four days. So there is a great concern that information could be manipulated. The area of the crash is under the operative control of the separatists. They are creating obstacles to fair investigation," he alleged.
He dismissed the separatists' argument that they do not have the capability to shoot down a commercial airliner.
"They are contradicting their own statements. Only a few days before the tragedy they had openly claimed that they acquired the 'Buk' system, which is likely to have been used in striking down the aircraft. On July 14 they shot down a Ukraine military plane which demonstrated the 'Buk' system was available to them," he claimed.
Shevchenko also denied Ukraine's involvement in the crash, an allegation levelled by the rebels.
"There was no military or anti-terror activity in the area. No Ukraine air force was operating on the day of the tragedy. We can't let this tragedy be used for a blame game," Shevchenko said.
He appealed to the world community for a fair and independent probe.
"We have invited all those who are interested in finding out the true facts, in particular nations whose citizens were boarding the flight. We also want Interpol, FBI and other international bodies to join the investigation," he said, adding that the UN Security Council's intervention might be sought depending on the result of the investigations.
"Russia is a country which is supplanting terrorists in a neighbouring country. We hope this time the international community will be united against such outrageous action by one of the permanent members of the Security Council," Shevchenko contended.