The meeting between Modi and Ramaswamy lasted about 10 minutes and during this brief interaction Modi enquired about Ramaswamy's health.
Ramaswamy (80) was recently hospitalized following a brief illness.
Modi after launching the National Handloom Day celebrations here, had a luncheon meeting with Chief Minister Jayalalithaa at her Poes Garden residence and then drove straight to the residence of the veteran journalist and political commentator at M R C Nagar, sources said.
Modi has been a long time friend of Ramaswamy and had also participated in the 42nd Anniversary of the magazine as Gujarat Chief Minister in Chennai on January 14, 2012.
"He is my long time friend and came to enquire about my health", Ramaswamy added.