The Dutch finance minister has called on Apple to "get ready" to pay up in the wake of a tax ruling issued by the European Commission last month.
The commission has ordered Apple to pay €13bn (£11bn) in unpaid taxes in Ireland.
As part of its decision, the commission said other EU countries could also claim a slice of the money pot.
It called the firm's operations in Ireland - where Apple paid an effective corporate tax rate of just 0.005 per cent - a "sham" designed to avoid paying tax elsewhere.
It argued that Dublin had granted Apple favourable tax terms which amounted to state aid, which is illegal under EU rules.
Speaking on the last day of a meeting of EU finance ministers, Jeroen Dijsselbloem told reporters that multinationals "have an obligation to pay taxes in a fair way".
"International tax loopholes are a thing of the past", Mr Jeroen Dijsselbloem said, adding that Apple should "get ready" to pay back taxes in Europe and the US.
Apple and Ireland are both appealing the decision, with doubts hanging over the legality of the claim.
Austria's finance minister has said his country was looking at the prospect of a payout "intensely".
Hans Joerg Schelling, speaking at the meeting in Bratislava, Slovakia, said: "If it's legally accurate, you can be sure that as minister of finance I will take it."
He added that Italy and France are also considering posting claims, with a senior OECD official suggesting at the summit that they could have a right to do so.
The meeting, which focused on looking into standardising tax rules for multinational firms, comes as the European Commission hopes to have proposals ready this autumn for tighter rules on tax bases for companies operating in the EU.
Chancellor Phillip Hammond said the EU was keen for large companies to "pay the right tax at the right place", adding: "That's the fair way to do it, and we are going to make sure it happens."
OECD secretary general Angel Gurria said the commission ruling had clearly opened the door to sharing the tax bill to all countries.
