A far-right party in France has begun pushing for its own referendum on membership in the European Union following Britain's vote to leave the EU Thursday.

Leaders of the National Front party reportedly announced support for a "Frexit" movement in the wake of the surprising results in Britain. One leader declared it was "our turn now" to reexamine the relationship between France and the EU.

The National Front party controls only a handful of seats in the French government.

But experts said Friday the push for an EU membership referendum in France could gain momentum given the precedent set by the U.K.

British Prime Minister David Cameron announced his decision to step down in three months following the outcome of the Brexit vote. Pollsters had widely expected voters to opt for continued membership in the EU.