A court in Milan is considering charges of corruption against Eni and Shell in a controversial oil deal that led to Nigeria losing an estimated $6bn.
The campaign group Global Witness has calculated the OPL 245 deal in 2011 deprived Nigeria of double its annual education and healthcare budget.
Eni and Shell are accused of knowing the money they paid to Nigeria would be used for bribes.
The Italian and Anglo-Dutch energy giants deny any wrongdoing.
This unfolding scandal, which is being played out in an Italian court, has involved former MI6 officers, the FBI, a former President of Nigeria, as well as current and former senior executives at the two oil companies.
The former Nigerian oil minister, Dan Etete, was found guilty by a court in France of money laundering and it emerged he used illicit funds to buy a speed boat and a chateau. It is also claimed he had so much cash in $100 bills that it weighed five tonnes.
Global Witness has spent years investigating the deal which gave Shell and Eni the rights to explore OPL 245, an offshore oil field in the Niger Delta.
It has commissioned new analysis of the way the contract was altered in favour of the energy companies and concluded Nigeria's losses over the lifetime of the project could amount to $5.86bn, compared to terms in place before 2011.
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