A trove of documents known as the Paradise Papers have reportedly shed light on Apple's search for a new place to store the huge sums, after more than two decades of benefiting from artificially low taxes in Ireland.
The records, shared by the International Consortium of Investigative Journalists with the New York Times and other media partners, were obtained by the German newspaper Süddeutsche Zeitung.
The move, beginning in 2015, allowed Apple to continue to avoid paying billions of dollars in taxes.
Apple has more than $250 billion in profits on the island of Jersey.
Ultimately, Jersey was the victor, and Apple reportedly moved the tax residency of the Irish subsidiaries to the Channel Island in 2015. The Apple back taxes are yet to be reclaimed by the Irish government but the Google bill has been settled, Vestager said.
According to the report Apple moved "most" of its $252bn cash hoard to Jersey, which has a corporate tax rate of 0% for foreign companies.
Apple's 2017 accounts showed they made $44.7 billion outside the U.S. and paid just $1.65 billion in taxes to foreign governments, a rate of around 3.7 per cent - less than a sixth of the average rate of corporation tax in the world.
It said: "A coordinated legislative effort internationally will remove the current tug of war between countries over tax payments and ensure certainty of law for taxpayers".
Although it was aimed at Double Irish structures, the potential rule change would ban all Irish companies from claiming tax residency in a tax haven.
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The leaked documents showed the driver received a 3.3 million pounds ($4.4 million, EUR3.7 million) tax refund in 2013 after his luxury plane was imported into the Isle of Man - a low-tax British Crown Dependency.
Apple for years funneled most of its overseas profits through Ireland.
Instead of paying Irish corporation tax of 12.5%, or the U.S. rate of 35%, its foreign tax payments rarely amounted to more than 5 % of its foreign profits - and dipped below 2% in some years.
European regulators are trying to force countries including Ireland, Belgium, Luxembourg and the Netherlands to collect back taxes from big companies that relied on offshore arrangements. The tax-avoidance scheme involved allegedly transferring tech patent portfolios to Ireland; then allegedly using Irish and Dutch subsidiaries in the Caribbean to shift profits to low-tax jurisdictions; and then allegedly moving those profits on to virtually "no tax" jurisdictions.
The company said it "pays every dollar it owes in every country around the world", including tax in the U.S.at the standard rate of 35% and an effective rate of 21% on foreign earnings.
Now, the EU-which pressured Ireland to crack down-has taken a renewed interest in Apple's tax methods and apparently has been talking to the company about its new "Jersey" strategy.