"We sought support from the Government of India to go ahead with the project," Siddaramaiah told reporters outside Parliament House after meeting Modi.
Terming Tamil Nadu's opposition to the project as "politically motivated", he stressed that interests of the neighbouring state would not be affected by this project.
"We are planning to construct a dam across the Cauvery river, which is in our territory. This project will not affect the interest of Tamil Nadu. Tamil Nadu people's opposition to the project is politically motivated," he said.
Asked about Modi's response, Siddaramaiah said, "Prime Minister has not given any assurance. He said that he would examine it."
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The Karnataka Chief Minister also urged Modi to convene a meeting of chief ministers to discuss about making respective regional languages as medium of instruction in primary schools.
Union Ministers Ananth Kumar and Sadananda Gowda, MPs including senior BJP leader B S Yeddyurappa and Congress leader Mallikarjun Kharge were also present during the meeting.
Siddaramaiah in his budget speech, presented on March 13, has proposed preparing a detailed project report for construction of balancing reservoir on the upstream of Mekedatu across the Cauvery river.