Vodafone is believed to offered to pay USD 650 million (Rs 3,900 crore) towards tax dues, as against the government's demand of USD 1.4 billion (Rs 8,400 crore), sources said.
Singh's meeting follows the British telecom firm seeking time to reply to Revenue Department's offer for a non-binding conciliation under the Indian laws.
While Vodafone had shown keenness to go in for arbitration under the United Nations Commission on International Trade Law (UNCITRAL) law, India has proposed conciliation under the Indian Arbitration and Conciliation Act.
However, a top government functionary said it was in the interest of Vodafone to resolve the issue as the firm is saddled with the tax liability.
Vodafone's reply to the government on the issue was not satisfactory as they nitpicking on things like venue and rules for conciliation.
The functionary said it was for Vodafone to show greater alacrity and enthusiasm to resolve the tax dispute.