On the 24th of February 2022, the Russian Federation began an unprovoked invasion of Ukraine, marking the biggest military attack in Europe since the second world war. Over 4 million people have fled their homeland within the first month of the war and have triggered a large refugee crisis with impacts far beyond the Ukrainian border. People in the neighboring countries have shown tremendous support by stepping forward to donate food, clothes, medications, money, and other essential supplies. The governments and other regional stakeholders have also been supportive in accommodating and easing regulations for the incoming refugees. Herein, we summarize the humanitarian measures and medical donations that have been made by European countries as they stepped up their efforts to provide refugees with all necessary basic services. We further highlight potential oncoming challenges in Ukraine and the host countries along with relevant solutions to these challenges. The current scenario highlights the need for multi-party and multi-level collaborations (both public and private) to tackle the emerging situation.