It should be recalled that the AIADMK leader had skipped Mr Modi's oath ceremony in protest against the presence of Sri Lankan President Mahinda Rajapaksa.
Ms Jayalalithaa is said to share a good rapport with Modi but had sacked a party leader for suggesting that the AIADMK would like close tie" with the BJP.
During her meeting with Prime Minister Narendra Modi, Jayalalithaa will submit a list of issues concerning Tamil Nadu.
The memorandum will include long-pending issues crucial to Tamil Nadu and on which the central government needs to act, an official statement said.
This will be Jayalalithaa's first meeting with Modi after he became the prime minister May 26.