Reliance had held talks on offering Aramco at least 20% in a special purpose vehicle covering refining, petrochemicals and marketing, and with a focus on expansion.
"Talks have stalled as Reliance is asking for a higher valuation and wants to transfer debt of the holding company to the new SPV (special purpose vehicle)," said one of the sources.
No immediate comment was available from Reliance and Saudi Aramco.
Reliance, controlled by Asia's richest man, Mukesh Ambani, operates the world's biggest refining complex with capacity to process 1.4 million barrels per day (bpd) of oil at Jamnagar in western India.
It plans to expand capacity to 2 million bpd by 2030, according to plans shared with the Indian government.
As of June 30, Reliance had outstanding debt of Rs 2,882,43 crore ($41.8 billion) compared to Rs 2,875,05 crore as of March 31, while cash and cash equivalents as of June 30 were at Rs 1,317,10 crore versus Rs 1,330,27 crore as of March 31, the company said.
Aramco and the United Arab Emirates' national oil company ADNOC teamed up with state-run Indian refiners last year in a plan to build a 1.2 million bpd refinery and petrochemical project in India's Maharashtra state.
But the planned refinery, initially expected to cost $44 billion, faces delays, as farmers have refused to surrender land forcing the Maharashtra government to find a new location in Raigad district, about 100 km (62 miles) south of Mumbai.
Also read: Maharashtra govt identifies new site for Saudi Aramco, ADNOC's refinery
Also read: Saudi Aramco eyes stake in Reliance Industries' petchem, refinery project