During the interaction, the government suggested to the farmer representatives "to identify the specific issues related to Farm Reform Acts and share with the government on December 2 for consideration".
Union Home Minister Amit Shah had appealed to the farmers to shift to the Burari ground and had said the Centre was ready to hold discussions with them as soon as they move to the designated place.
The protests have intensified since last week when farmers arrived in trucks, buses and tractors at Delhi's Singhu border with Haryana state and blocked the main northern highway into the capital.
Rejecting the Centre's offer, the farmers said they will not accept any conditional dialogue.
Some groups of farmers from Uttar Pradesh gathered at the Ghazipur border with their vehicles, lending support to the agitation by their counterparts from Punjab against the Centre's new agri laws.
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The thirty-odd farmer organisations of Punjab that are primarily leading the thousands of protesting farmers on the Karnal-Delhi national highway had begun a marathon review meeting on the prevailing situation two days earlier, on 27 November. We want a meeting TO be held without any condition.
There appears no solution in sight for the stand-off - five days old now - between the Centre and agitating farmers camping on the borders of the national capital, with Prime Minister Narendra Modi hinting on Monday that his government is no mood to give in to the farmers' demands.
"The talks were held in a cordial atmosphere, and we listened to the issues of farmers".
A farmer checks his mobile phone during a blockade at the Delhi-Haryana state border on Sunday. According to the report, the protesters turned violent and tried to enter Delhi in large numbers and the Delhi and Haryana police used necessary minimum force to prevent them from crowding amid the coronavirus pandemic.
The farmers say the laws could cause the government to stop buying grain at guaranteed prices and result in their exploitation by corporations that would buy their crops cheaply.
But thousands of farmers continued to protest at the Singhu and Tikri borders on the fourth consecutive day on Sunday. The government has maintained that the new laws will bring farmers better opportunities and usher in new technologies in agriculture. Bishop Vadakumthala told UCA News that the new laws would hit the marginal farmers who will have "no power to bargain" for their product's price.