The two major Dravidian parties' greetings came as the BJP won 7 seats and is leading in 102 constituencies as per the latest trends and results for 221 of the 222 constituencies, where the polling was held on May 12.
He sent a letter to Modi in this regard, it added.
Congress candidates have won two seats and were ahead in 69, while the JD(S) was leading the table in 39 constituencies.
DMK Working President M K Stalin greeted the BJP and its Chief Ministerial candidate B S Yeddyurappa on behalf of his party and expressed hope that the new government would ensure cordial ties with Tamil Nadu.
"I believe the BJP, which is going to take charge, will not violate Tamil Nadu's rights on Cauvery as per the Supreme Court order and strive for cordial ties with the neighbouring state," he said.
Karnataka had on May 3 said it was not in a position to release Cauvery water to Tamil Nadu even as the Supreme Court sought to know the quantum of water that can be spared.
The Centre had yesterday filed a draft Cauvery management scheme before the Supreme Court, in line with its directive.
The apex court on February 16 asked the Centre to formulate the scheme to ensure compliance of its judgement on the Cauvery dispute.
The court had modified the Cauvery Water Disputes Tribunal (CWDT) award of 2007 by raising the 270 tmcft share of Karnataka by 14.75 tmcft and reduced Tamil Nadu's quantum while compensating it by allowing extraction of 10 tmcft groundwater from the river basin.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)