The intention is to move to 58% Vedanta ownership, while Cairn Energy reduces to 22%.
Edinburgh oil and gas explorer Cairn Energy has announced a fresh deal in Senegal.
Greenpeace has previously occupied vessels operated by Shell and Cairn Energy over the issue.
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I've written before about the problems Cairn Energy had in exiting its Indian investment.
The "completion of this transaction...represents a major milestone in Cairn's history, " Simon Thomson, chief executive of Cairn Energy said.
The interim interdict, granted by the Court of Session, also prohibits any attempt to disrupt Cairn Energy's lawful business operations.
Cairn Energy has insisted its operations comply fully with some of the most stringent safety regulations anywhere in the world.
Shares in the Edinburgh-based oil exploration firm Cairn Energy fell on Tuesday on negative news over its drilling operations in Greenland.
Cairn Energy is to focus its drilling efforts in 2013 in the North Sea, and off the Atlantic coast of Morocco.
Cairn Energy has won a court order preventing Greenpeace from publishing any material recorded by protesters who occupied its headquarters on Monday.
Cairn Energy will now be able to focus on drilling in Greenland, where it has yet to find commercial quantities of petroleum.
Meantime, both Vedanta and Cairn Energy agreed today to extend the deadline for completing the transaction from April 15 to May 20.
Cairn Energy's links in Bangladesh, for example, gave it a head start in the country's nascent gas industry before the giant oil companies rushed in.
Between 2006 and 2010 it sold licences to firms including ExxonMobil, Chevron and Cairn Energy, which recently found traces of oil in western Disko Bay.
One of the largest oil discoveries in the Norwegian sector of the North Sea in recent years is bigger than initially thought, explorer Cairn Energy has revealed.
Following the sale of the 10% stake, which is due to complete by 11 July, Vedanta will hold 28% of Cairn India, while Cairn Energy will have 52%.
Not only that, but in the U.K. six companies this year failed to receive majority support for their pay programs, including WPP, Trinity Mirror, and Cairn Energy.
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The boss of Greenland's Bureau of Minerals and Petroleum, Jorn Skolv Nielsen, describes it as a big reason for the bureau's decision to open Greenland's western Disko Bay, where Cairn Energy drilled in 2010-11.
The price agreed between Cairn Energy and Vedanta is 9% lower than that agreed last year for its much bigger sale, in exchange for removal of a clause that would have banned Cairn from competing with Vedanta.
Greenpeace campaigners have been criticizing Scottish oil firm Cairn Energy, which announced earlier this week that it had found gas off the coast of Greenland and had received permission from the nation's government to drill two wells.
Cairn has worked there in partnership with Norwegian energy company Statoil.
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