The French Polynesian government says it's imperative France's recognition of its nuclear legacy is included in the territory's autonomy statute.
The government said it has been raised in talks in Paris between a delegation from French Polynesia and the French overseas minister Annick Girardin.
The territory's president Edouard Fritch said while there was agreement on many points, there appeared to be differences on how France will recognise its responsibility for the weapons test legacy.
He said even if it's not explicit in the new organic law, a dedicated financial contribution will be enshrined in the budget process which he said would make it untouchable.
Mr Fritch said the territory's not seeking any institutional changes or enhanced powers in the amended statute but just a way for his government to be able to work optimally.
He said there had been agreement in 70 percent of the amendments discussed.
The French Senate is due to debate the revised autonomy statute in mid-February.
The opposition in Tahiti is against the suggested revision and instead wants either partial or full independence from France.