Foreign Minister Rohitha Bogollagama told a high-level security forum in Singapore that Colombo needed help in disabling the Tigers' "powerful political lobbies in certain capitals" that are seeking to resurrect the movement.
"It is important for the international community to take all measures to assist the government of Sri Lanka, to track down the global network of the LTTE," Bogollagama said.
Speaking at the forum organised by the International Institute of Strategic Studies, Bogollagama also rejected allegations of genocide in the last days of the Sri Lankan military's battle against the LTTE.
"This was both fictional and well-fabricated, with ulterior and sinister motives in order to discredit the armed forces as well as to embarrass the government of Sri Lanka," he said.
There have been allegations that large numbers of civilians had been killed as the Sri Lankan army closed in on the rebels to end the decades-long war.
Rights group Amnesty International on Saturday c