On Saturday, in an attempt to end the protests, the president had offered government positions to two of the opposition's leaders.
He also offered to meet several other conditions that the opposition is demanding.
However, he failed to offer new elections or his resignation, both of which are key demands being made by protesters.
The ball is now back in Yanukovych's court, and Monday will see whether he'll try another offer or if that was the only one he would make.
Protests began, in November, when the president backed away from a deal to join the EU, and instead turned to Russia.
Multiple police attempts to clear out Kiev's Independence Square have failed, with injuries mounting since last Sunday, and deaths occurring on Wednesday.
Many Ukrainians worry that Yanukovych is taking their country back under Russian influence and fear a loss of their independence from their former Soviet masters.
