Karunathilake Amunugama, Lanka's Ministry of External Affairs' Secretary said Colombo has lodged a formal request with the Indian authorities in this connection.
Sri Lanka's concerns arose after two successive attacks against Buddhist monks and a group of pilgrims.
In Tamil Nadu's Tanjavur, a Lankan monk, who was a researcher of archaeology, came under attack last week while today at the Chennai central station another monk and a group of pilgrims were allegedly attacked.
Meanwhile, Champika Ranawaka, a Minister from JHU party told a press briefing here that the government must take the attacks more seriously.
"We may have to take this step if the Tamil Nadu leaders continued to act foolishly so as to allow attacks against our citizens", Ranawaka, a key ally of the President Mahinda Rajapaksa said.