A top opposition leader in Ukraine’s two-month-long political crisis said Saturday that protests will continue despite the embattled president’s offer to appoint him as prime minister.

Arseniy Yatsenyuk told a large crowd on Kiev’s central square that while the opposition is generally ready to accept leadership of the government, President Viktor Yanukovych must still meet several key demands of the opposition and that talks will continue.

Yatsenyuk said a special session of parliament called for Tuesday could be decisive. Yanukovych has said that session could discuss a government reshuffle and changes to harsh new anti-protest laws that set off a wave of violent clashes between police and protesters over the past week.

The protests began in November in Kiev when Yanukovych shelved a long-awaited trade pact with the European Union in favor of closer ties with Russia, and boiled over into violence a week ago over the new anti-protest laws.

“Tuesday is judgment day,” Yatsenyuk told a large crowd of protesters on Independence Square. “We do not believe a single word of theirs. We believe only actions and results.”

At a later news conference, Yatsenyuk said that “we are not throwing out the proposal, but we are not accepting it, either. We are conducting serious consultations among three opposition forces.”

He also said the opposition would demand to sign a free trade agreement with the European Union and free political prisoners, including former Prime Minister Yulia Tymoshenko.

The opposition also is demanding early presidential elections. Another top protest leader, Vitali Klitschko, told the crowd that they would press ahead with that demand.

About an hour after the opposition leaders spoke, demonstrators began attacking a building about 100 yards from the square where police were stationed, smashing windows, breaking doors and hurling firebombs.

Yanukovych’s offer, coming as protester anger rises and spreads from the capital to a wide swath of the country, appeared to have been both a concession and an adroit strategy to put the opposition in a bind.

Accepting the offer could have tarred Yatsenyuk among protesters as a sell-out, but rejecting it would make him appear obdurate and unwilling to seek a way out of the crisis short of getting everything the opposition wants.

The offer came hours after the head of the country’s police, widely despised by the opposition, claimed protesters had seized and tortured two policemen before releasing them. The opposition denied it and said Interior Minister Vitali Zakharchenko was making a false claim in order to justify a police sweep against protesters.

Three protesters have died in the past week’s clashes, two of them from gunshot wounds and a third of unspecified injuries. The Interior Ministry said a policeman was found shot in the head overnight. No arrests have been made or suspects named.

Protesters have rained stones and firebombs on police while officers retaliate with stun grenades and tear gas.

In the meeting with opposition leaders where he made the offer to Yatsenyuk, Yanukovych also agreed to discuss ways of changing Ukraine’s constitution toward a parliamentary-presidential republic, which was one of the demands of the opposition, according to a statement on the presidential website.

If that change went through, the prime minister would have more powers and would be elected by parliament, not appointed by the president. Yanukovych backers currently have a majority in the parliament and the next election for the legislature will be in 2017.