The company has not given a specific timeline for the resumption of full output.
WTI futures, slumped last week by nearly 2 million barrels to their lowest since December.
Oil prices are being pressured by ongoing worries about demand as the US-China trade war.
Oil prices have been squeezing higher on escalating tensions in the Middle East.
India bought about 184,000 barrels per day (bpd) oil from the United States over November 2018 to May 2019.
Thursday’s tanker attacks in the Gulf of Oman exacerbated the antagonistic fallout from similar blasts in May that crippled four vessels.
The country's dependence on imported crude oil to meet its needs has risen to 83.7 per cent in 2018-19.
Brent crude futures were at USD 70.73 a barrel, up 11 cents, or 0.2 per cent, from their last close.