Penalties would target 'individuals involved in violence and election fraud' raising the prospect that leader Alexander Lukashenko could be hit.
Vladimir Putin has warned the world not to interfere in Belarus and told Angela Merkel that any intervention will be 'unacceptable' after the EU threatened sanctions.
Ms Laya spoke to Spanish media about sanctions, ahead of a meeting of EU ministers which is due to take place Wednesday.
Marchers also gathered outside the Janka Kupala National Theater in Minsk, after its director was fired for supporting the protests.
Maria Kolesnikova (right), an activists from a party that opposes Lukashenko, joined protesters outside the theatre in Minsk on Tuesday.
The country's opposition leader has said she is ready to take over if Lukashenko is toppled by the protests.
Hundreds of people poured onto the streets in Belarus on Sunday to call for the country's leader to resign. »