Last month, reports surfaced that actor Farhan Akhtar and Kalki, both "Zindagi Na Milegi Dobara" co-stars, were dating each other.
When asked about reports mentioning her name, Kalki told PTI, "I don't pay attention to them... I don't talk about my personal life."
While the 42-year-old "Rock On!" star announced his split earlier this year, Kalki, 32, and filmmaker Anurag Kashyap filed for divorce in 2015 after four years of marriage.
Kalki will be next seen in director Anu Menon's "Waiting" opposite Naseeruddin Shah.