HELSINKI — For Russians, particularly the rising middle class in and around the city of Saint Petersburg, Finland has become a favorite travel destination. The capital Helsinki is only a three-and-half hour train ride away, the scenic Finnish lakeside town of Imatra sits across the border from Svetogorsk and Russian skiers flock to Lapland mountain resorts each winter.

But this tourist traffic may be about to vanish as a growing number of Finnish politicians are calling for restrictions on visas, a move that would broaden the scope of the sanctions against Russia to target ordinary people in addition to state enterprises, public officials and Oligarchs.

Such a clampdown would also come after the historic decision of Finland, which shares a 1,340 kilometer (830 mile) border with Russia, to seek NATO membership (alongside Sweden) in response to the invasion of Moscow’s southern neighbor, Ukraine.