I'd reccomend against Ukraine. ~ 30% of the population lives in poverty, many parts of the country don't have running water, and there has been a lot of political controversies in the past couple of years. Ukraine is not as bad off as someplace like Belarus, but it certainly should be one of the last schools on your list. If you are dead set on Europe, and don't have a lot of money, go with Romania ($2500 USD/year, or a school in Moscow or St Petersburg if you can afford it).
As far as quality of your training, I've heard a lot of these schools are not that great. If you studied in the Ukrainian language, that's one thing; I'm sure they produce fine doctors. In English, however, they know the students they get just couldn't get in to medical school in their own country. They know you will use them for their resources, and then leave their country. You won't be contributing to the healthcare system of their country, so what motivation do they have to make sure you are the best doctor possible? Of course this is a concern about any medical school outside of English-speaking countries (most of Europe and the world) that have English-language medical schools, but some have better reputations than others (Charles Uni in Prague, Semmelweis in Budapest, Jagiellonian in Krakow, etc.).
Bottom line: Ukraine has a lot of problems that will make studying medicine for a foreigner very difficult. Go a little further West if possible (Hungary, Czech Republic, Slovakia, Hungary, Poland, even Romania, and lastly Russia) before Ukraine (this should be your last option).
I'm assuming you are not American. Are you: Indian, Malaysian, Iranian, Pakistani, or something else?