His ashram was near Bhind town of Madhya Pradesh state, where he undertook great penance and austerities for ultimate realization of God.
According to a story of Vanparv of the Hindu Epic Mahabharat, there was an Ashram of Vibhandak Rishi in the area of Kaushiki Devnadi river. Kaushiki Devnadi river is identified as Kunwari or Kwari river. The name of Bhind town is named after this great saint. An ancient temple of Vibhandak or Bhindi Rishi is still located at Bhind.
According to the classic Parmal Raso, King Prithiviraj Chauhan encamped in the dense forest at the Samadhi Sthal (place for memorial) of Vibhandak Rishi, while going to fight with Chandels in the Battle of Sirsagarh and defeated their commander Malkhan.
It is also stated that Pandavas, during their banishment, visited his Ashram. This place is now the location of the Van Khandeshwar Temple of Lord Shiva built by Prithiviraj Chauhan.
According to Pandey, these Mathas were not established by Shankara himself, but were originally ashrams established by Vibhāņdaka and his son Ŗșyaśŗnga. Shankara inherited the ashrams at Dvārakā and Sringeri, and shifted the ashram at Śŗngaverapura to Badarikāśrama, and the ashram at Angadeśa to Jagannātha Purī.
Pandey, S.L. (2000), Pre-Sankara Advaita. In: Chattopadhyana (gen.ed.), "History of Science, Philosophy and Culture in Indian Civilization. Volume II Part 2: Advaita Vedanta", Delhi: Centre for Studies in Civilizations