If introduced, fees will be imposed on students from countries other than members of the EEA - that is from elsewhere than 27 of the 28 European Union member countries (Croatia's EEA membership is currently pending), as well as Iceland, Liechtenstein and Norway.
Exchange students will not be affected.
The revenue from tuitions will be available for use by higher education institutions, which will also be expected to set up financial aid for less wealthy students from outside the EEA.
The leader of the National Coalition Party's parliamentary group, MP Arto Satonen Wednesday confirmed the government is weighing the plan, as first reported by the Green Party publication Vihreä Lanka.
Under the plan, tuition will be a minimum of 4,000 euros per study year for degree programmes, and possibly more in some fields. The fees are likely to be introduced in 2016.