Krisztina Than and Anna Koper

PRZEMYSL/BUDAPEST, Poland (Reuters) – Thousands of more refugees entered Eastern Europe on Thursday. They hope peace talks between Moscow & Kyiv will end the war quickly, but more people could flee over the next few days.

About 3.2 Million people have fled Ukraine as the conflict in Ukraine enters its fourth week. The United Nations released data on Thursday to show that this is Europe’s fastest-growing refugee crisis.

The numbers of refugees arriving into the Frontline States – Poland Slovakia Hungary Romania Moldova and Hungary – are slowing in recent days. However, Viktor Orban (Hungarian Prime Minister) said that next week he anticipates a larger wave.

He said that “The war in Ukraine isn’t subsiding” and was spreading. A video posted to his Facebook page (NASDAQ:) Wednesday night, showed him saying this.

“They flee from dangerous areas and war zones.

Alla Klochko was from Mirnohrod, Donetsk. It is in this region that separatists in Ukraine have created an independent republic. Kyiv claims it is disputing the claim. The centre of fighting between Russia and Ukraine is Mirnohrod.

According to the 31-year old, she hoped that she would be able to find work in Warsaw while her daughter Alisa (8 years) would enroll at an educational institution in Poland.

She said, “I am hopeful that, if we reach an agreement with our delegation, at the end, there will have peace. I also hope that Ukraine does not lose our territory, Donetsk. Because Donetsk area is Ukrainian.”

Przemysl Train Station, which is near the Ukrainian border, she stated that “We are a part Ukraine”, and that they hope this will remain so. “We can speak Russian, but our Ukrainian heritage is what we use.”

Go West

Many Ukrainians have already moved further west and the European Union offers collective protection. A collective protection for refugees removes the need to make individual asylum claims.

Close to 190,000 German citizens have already registered with the authorities. This number stands at 4,500 in Spain, while it is 2,000 in Norway. Norway isn’t part of the EU, but does grant collective protection.

Nastia Chemerys, a Ukrainian citizen from Kyiv said that volunteers don’t know whether there is a train going to Berlin. She spoke at Warsaw station because technical issues were slowing down the Polish train system.

“Five, six years ago I left Kyiv. It’s extremely dangerous. Two days later, when I had left Kyiv (at), one house was burned.

In the midst of unrelenting fighting both Russia and Ukraine have talked about making progress in their bilateral discussions.

According to Ukrainian officials, Russia has outnumbered them and they could be able to come to an agreement with the failure of their government to overthrow it. Moscow claimed that it was close to agreeing on a formula for keeping Ukraine neutral. This is a long-standing demand.

“I wish that it will soon end. Everybody says that it has to … I don’t know,” said Ekaterina Herman, 27, who arrived in Poland late on Wednesday with her two-year-old.

“I’m planning to go back to Ukraine.”

Across the region, refugees were working to create some sense of normalcy.

At a supermarket-turned-shelter in Rzeszow, south-eastern Poland, volunteers and children played tug-of-war, drew tattoos and made drawings, with the Beverly Hills Cop movie soundtrack blasting on the speakers.

Romanian volunteers and firefighters welcomed the arrivals of women carrying babies and toddlers to Siret, where they were escorted to their destination by Romanian firefighters.

While the United Nations has indicated that it will only provide relief for four million refugees in its plans, they also expect this figure to rise. Five million refugees are expected to reach Europe, according to the European Union.

282,000 people fled Hungary on Feb. 24th, while 270,000 fled to the Czech Republic. 491,000 fled to Romania. According to UN and government data, the largest number of refugees — 1.97million — was in Poland.