A spokesman said the two men discussed several issues.
"Ravi Shankar and (Muzaffar) Wani discussed several issues including the current situation and how normalcy can be restored in the valley," the spokesman said in a statement.
The discussions were "purely on a personal and humanitarian angle", the statement added.
Earlier, Ravi Shankar tweeted that Muzaffar Wani stayed at the Art of Living ashram here for two days and discussed several issues.
The spiritual guru also tweeted a photo of himself with Wani.
Burhan Wani, 22, was killed by security forces on July 8 in south Kashmir.
Over 70 people have died in clashes with security forces in the Kashmir Valley since Wani's death.
