Here's my plan. Tell me what you guys think.
1) Raise issue of Sri Lankan (mis)treatment of Tamils in the UN. Emphasize the fact that India does not support LTTE or other terrorist organisations, but that the Sri Lankan gov't is continuing to commit genocide on their Tamil population. Emphasize the fact that the rate and spread of this oppression has increased since the defeat of the LTTE and end of civil war, and the fact that external intervention is needed to "save the Tamil people from Sinhalese oppressors".
2) After building up diplomatic pressure on Sri Lanka and demonstrating to the international community/UN that diplomacy is not working, use the ongoing genocide and oppression of the Tamils as an excuse to invade the country (Western-style).
3) The invasion should not be too difficult. The Sri Lankan military is more suited towards killing civilians than fighting actual soldiers. Their air force can easily be overwhelmed by Su-30s flying air superiority/interdiction missions from Pune, and the war could be an ideal time to test the LCAs based in South India. Sri Lanka's only relevant ally is PRC, who does not have the capability to defend Sri Lanka. Nevertheless, we should put our troops on the Sino-Indian Border on a state of alertness in case PRC tries some "posturing", though this is very unlikely. The only country in the world with the capability to defend Sri Lanka is the U.S., but it is unlikely that the Yanks will get involved.
4) After defeating the Sri Lankan military, organise a Tamil government to govern the Tamil-majority parts of Sri Lanka. These parts will declare independence from Sri Lanka, and sign a treaty of defence and cooperation with India. This Tamil nation will essentially become a puppet of India.
5) The nation of Sri Lanka will be forced to recognize Indian exclusivity over the island's facilities. Namely, no ports in Sri Lanka can be leased or used by foreign powers other than India (i.e. China or the U.S.) without first obtaining Indian consent. All diplomatic proceedings regarding Sri Lanka will be required to go through RAW/GoI channels first.
6) Meanwhile, at the U.N., proclaim the invasion as a "victory for humanity", "triumph for democracy", etc. etc. while Indian companies begin monopolizing the Indian Ocean trade passing through Hambantota and other ports.
7) Profit?