Whilst the World Health Organisation says individual countries must agree plans that are suitable for them, it says migrants should not be made to go without.
The number of people seeking refugee status in Europe has continued to climb, driven by the wars in Syria and Iraq.
Conflict and instability in Afghanistan and Eritrea are also contributing to the biggest refugee crisis since World War Two.
The World Health Organisation is now appealing for healthcare options for migrants moving through Europe, many of whom are trying to reach the richer north of the continent.
WHO Director-General Margaret Chan says health is a fundamental human right.
"You must act within your law. In solidarity with the people of this world, governments together with their political leaders must make the choices that is relevant for the country. The WHO supports governments in coming up with the right package of healthcare to keep them healthy and that's what we are doing especially in the European region of the WHO."
The United Nation's refugee agency, the UNHCR, has expressed its ongoing concerns over the asylum systems in many countries receiving migrants.
It says poor reception conditions, status determination procedures, low recognition rates, as well as lack of access to durable solutions, are particular challenges.
The top five EU countries that receive asylum applications are Germany, France, Sweden, Italy and the United Kingdom.
But concerns centre on smaller EU member states, many of whom are less willing to take in asylum seekers or unable to provide adequate healthcare options for them.
Detlev Ganten is a founding member of the World Health Summit, which recently discussed the European migrant crisis.
"The health problem is no different from the problem in the general population. It's the same diseases, it's the same way doctors treat it, all we need is people on place who know the cultures of people coming in and of course psychological problems, understanding the problems is one important point and there of course we need help because we are not prepared for it. We should have had more foresight."
As an example, the WHO says around 2,000 refugees and migrants cross Serbia by bus, trying to reach Croatia, each day.
Their healthcare needs are met at the border crossing by a combination of services provided by Serbia, the UNHCR, the Red Cross, Médecins Sans Frontières and the Danish Refugee Council.
Mr Ganten says a combination of government and private enterprise such as this might be ideal in other EU countries.
"Joining in and bringing medical expertise together with administrative responsibility, of course political responsibility but also the private sector will have to respond because we know that Germany and other countries potentially will benefit from the influx of new people and creative people willing to work and do something for their own but also for the livelihood in the country they live."
Meanwhile, Greece and the UNHCR say the EU must stop countries picking and choosing which refugees they accept in its relocation program.
The EU has approved a plan to share out 160,000 refugees, mostly Syrians and Eritreans, across its 28 states.
Some countries, such as Slovakia and Cyprus, have expressed a preference for Christian refugees and Hungary has said the influx of large numbers of Muslim migrants threatens Europe's "Christian values".
Greek Migration Minister Yannis Mouzalas says Greece is having trouble finding refugees to send to certain countries because the receiving nations had set what he called "racist" criteria.
While touring refugee processing facilities on the Greek island of Lesbos, UNHCR High Commissioner Antonio Guterres said all EU countries must share the burden.
"This is not a Lesbos problem, this is not even a Greek problem. This is a European problem that requires a European solution. And it's necessary that the whole of the European Union assumes its responsibilities and it's necessary that this gigantic effort that Lesbos is making, this dramatic impact in the economy, the society, is matched. "
Share
