After a 90-minute meeting, Union Home Minister Shivraj Patil said the meeting was inconclusive: "We met today and the talks were inconclusive. We will meet again tomorrow."
Tuesday's talks will be held a day ahead of the all party meet, the second such exercise in a week, to be chaired by Prime Minister Manmohan Singh.
In Monday's meeting, the delegation members made various suggestions to resolve the dispute but the opposition Bharatiya Janata Party, which was represented by Arun Jaitley, stressed on implementing the order of the division bench of Jammu and Kashmir High Court.
As per the orders, the land will be handed over to the Shri Amarnath Shrine Board for a period of two months during the yatra when pre-fabricated structures can be erected. However, as per the order, the ownership of the land will remain unchanged.
The delegation had a two-day visit to the state where it held talks with Shri Amarnath Sangarsh Samiti, spearheading the over month-long agitation in Jammu, besides holding parleys with leaders from Kashmir valley. Summing up the visit, Patil said he was hopeful of a peaceful solution to the problem.
The home minister spoke to Governor N N Vohra and the state police chief to take stock of the situation.
Monday's meeting was attended among others by Union Ministers Raghuvansh Prasad, Saif-ud-din Soz and Prithviraj Chavan, former state chief ministers Farooq Abdullah and Ghulam Nabi Azad and Amar Singh and Sitaram Yechury.