Kos measures 40 by 8 kilometres (25 by 5 miles), and is 4 km (2 miles) from the coast of Bodrum, Turkey, which used to mean it was a perfect place in summer for island hopping tourists.
These days its close proximity to the Turkish coastline has led to an influx of desperate men, women and children fleeing war torn Syria.
Footage shown Tuesday evening in the U.K. seems to indicate that police on the island are unable to cope.
Queues of desperate migrants wanting to acquire the necessary paperwork to move on to the next step of their journey into Europe were jostled; one woman fainted and a young child was lifted roughly through to safety indoors; people were pushed together and as police tempers frayed in the heat more than one 'slap' was forthcoming, in one case followed by a hasty apology from a police officer.
The migrants are in a desperate state but then so are many Greek people.
In parts of Greece parents have abandoned children at orphanages unable to provide for them. The police face tough cuts to their salaries and pensions; they will be expected to work much longer into old age before they can retire but in the meantime job numbers will be slashed.
One migrant who was critical of Europe and its response simply seemed churlish. If he was in such a desperate situation back home surely he should be happy to have fled that country, whichever it is?
But the migrants have no real shelter, water, toilet facilities and more.
When you visit the Greek Islands as a tourist the people are welcoming but you quickly realise most of the local residents are relatively poor by western standards and that assumption dates from before the Greek debt crisis.
As the U.N. and E.U. bureaucrats twiddle their thumbs and ponder what to do next they need to act as one.
Greeks face a debt deal that will be unpopular, involve more debt for the country, tie Greece into years of austerity and result in a fragile peace.
They do not need a huge migrant crisis adding to their woes.
On Kos the Greek people and the migrants need help, but so do the police; and the island needs its tourist visitors more than ever.
A Catch 22 situation if ever there was one.
Telegraph travel June 2015 - Mediterranean migrant crisis: should I cancel my holiday?
Express Tuesday - Greek islands turmoil: Police on Kos use batons to disperse migrants as chaos boils over