Norway's agreement -- the European Economic Area Agreement -- allowed the country to retain more control over key parts of its economy, particularly its fishing grounds, but forced it to follow big chunks of EU policy over which, as a non-member, it has no say.

Meet the Center Party and its leader Trygve Slagsvold Vedum:

In an echo of U.K. Prime Minister Boris Johnson's position, the Center Party wants something closer to a "traditional trade deal like Canada has," lawmaker Gjelsvik said.

But if it seeks such an arrangement, Norway will likely hit the same resistance in Brussels as Johnson has.

EU leaders hold that if a state wants access to the EU internal market it must align itself politically with Brussels and the EU has shown it is willing to risk a no-deal outcome rather than compromise on that fundamental idea.  

Norway's PM Sodberg wants to keep "market access":

"The Center Party wants to rip the foundation from under our market access," Solberg said.

Vedum stood his ground. "This is classic fearmongering," he said. "We are still going to have an agreement with the EU, a better agreement."