RIL, which was forced to cap crude imports from Venezuela following pressure from the United States, can now resume crude imports under the barter system.
Total has committed to investing $600 million in India's gas business.
MSCI's broadest index of Asia-Pacific shares outside Japan was up 0.1 per cent.
US West Texas Intermediate (WTI) crude futures was at $53.38 a barrel, down 21 cents or 0.4 per cent.
To be "on cautious side, buyers are preferring Indonesian shipments to avoid any possible impact of higher duties."
Including ATF and natural gas will not just help companies set off tax that they paid on input but will also bring about uniformity in taxation on the fuels in the country.
Crude oil for delivery in October shed Rs 15, or 0.39 per cent, to Rs 3,854 per barrel.
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