The spiritual pair were spotted in McLeod Ganj in Dharamshala, India, last week.
Moore, 50, suffered a public meltdown after her split from actor husband Ashton Kutcher, reported Daily Mirror.
The couple, who split acrimoniously in November 2011 and have been battling ever since, have allegedly signed divorce paperwork and could file the legal documents as soon as next week.
This will be the third time Moore will have been divorced after failed marriages to singer Freddie Moore, 63, and actor Bruce Willis, 58.