Huge Kiev rally
Huge Kiev rallyReuters

Tensions in Ukraine are slowly settling Wednesday, as protestors weigh the possibility of a compromise, according to the Wall Street Journal

Earlier Wednesday, opposition leaders managed to convince a faction of protestors to withdraw from the Agriculture Ministry building, which it had been occupying for days. 

President Viktor Vanukovych reportedly repealed the anti-protest laws at the heart of the conflict late Tuesday, a proposal which analysts claim the opposition may be willing to accept. 

Meanwhile, Ukrainian lawmakers are also in the midst of negotiations Wednesday to grant amnesty for protesters detained in the past 2 months, according to CNNA special session of parliament over the issue is being held, overseen by Leonid Kravchuk, Ukraine's President from 1991 to 1994.

"Let's be honest, the situation is dramatic. Both Ukraine and the world recognize the country is on the brink of civil war," Kravchuk said, stressing the necessity of compromise. 

"We need to ease the confrontation between the sides and agree a plan to solve the conflict," he added.

Experts also noted that Ukraine's unrest has not only been leading to political tensions, but also to concerns about the country's economic future. 

​The news surfaces following the revelation Tuesday that the Prime Minister of the Ukraine, Mykola Azarov, has announced his resignation from his post in the wake of the anti-government protests. 

Azarov said, while announcing his resignation, that he was doing so in order to promote "political-social compromise."

While an uneasy truce has been called between the two sides, it is unclear whether or not the calm will remain. 

Vanukoych and opposition leaders have been talking to each other since Wednesday, but Monday night's concession was the first real progress made in nearly a week.

The threat of an ultimatum surfaced as protests spread - with protesters also gathering in public squares  in Eastern Ukraine, where Yanukovych is said to have had a stronghold of support, and even occupying government buildings there.

Over the weekend, Ukrainian opposition leader Arseniy Yatsenyuk rejected an offer by President Yanukovych to take up the post of Prime Minister - as well as several other offers that signaled willingness to meet the opposition's demands. He said that refusal stemmed solely from the government's refusal to repeal the anti-protest laws. 

The development is the latest in a series of mass protests in Kiev since early December, when hundreds stormed Independence Square to protest the government's refusal to become a full member of the European Union (EU). Yanukovych opted to strengthen ties with Russia instead of joining the EU - angering the population which was once under Soviet rule.