Nationals of the western Balkans (bar Kosovars) can get short-stay visa waivers to enter Schengen.
The Kosovars are seeking to have visas refused to the Yugoslav team and its entourage.
Many still regard Bill Clinton as a hero for saving Kosovars during the war in Kosovo.
But if the Kosovars do not budge, the mediators will be back to square one.
Much depends, in the weeks ahead, on the balance of power among the Kosovars.
KLA's string-pullers in exile, the Kosovars might just swallow the deal as it stands.
Mr Blair's standing will depend on the terms under which the Kosovars can return.
The Kosovars were also promised a vote on their status in three years' time.
On April 21st America offered to give asylum on its mainland to 20, 000 Kosovars.
After that, as there is unlikely to be a deal, the Kosovars want to declare independence.
When Norway's police last month made their biggest-ever heroin haul, they arrested a couple of ex-guerrilla Kosovars.
Unfortunately, there remains no better alternative if the nearly million Kosovars driven from their homes are to return.
About 1, 155 refugees left Cegrane Friday, but Macedonia has urged Western governments to take Kosovars in more quickly.
Kosovars with identity cards issued by their government will now be able to travel in and through Serbia.
ECONOMIST: Serbia and Kosovo strike a small deal with big implications
Unsurprisingly, many Kosovars are unmoved by both the closure of the office and the end of supervised independence.
Ensuring Kosovars a safe return home will be more difficult than the few successful repatriations of the past.
Kosovars had assumed that individual countries would quickly recognise their new state, but that may be in question too.
If the Kosovars now get truly generous treatment, the change will be plain.
This week Albania and Bosnia joined them, so only Kosovars still need visas.
While other Kosovars formed a government-in-exile, he stayed behind, receiving foreign dignitaries and often showing them his treasured collection of rocks.
More specifically, some Kosovars fear that a post-Milosevic Serbia would compete with their province for a finite pool of international assistance.
The monitors are also struggling to persuade the Kosovars to accept a status for their territory that falls short of independence.
If, as seems likely, the resolution of Kosovo's future is delayed again, the anger of ordinary Kosovars could be felt quite soon.
ECONOMIST: The outlook is darkening in Kosovo��and in Serbia
What type of emotional impact do you think the war has had on the Serbians and Kosovars who are living in Kosovo?
In part because of bureaucratic foot-dragging in Brussels and Washington, many Kosovars may still have a cold and uncomfortable few months ahead.
And its Slav majority is frightened that the country's delicate ethnic balance could be upset by the arrival of too many Kosovars.
Could the explanation be that Macedonia has quietly cut a deal with Slobodan Milosevic to keep most Kosovars away from its borders?
Of course, not all the Kosovars' energy is channelled in benign ways.
Unsurprisingly, this was rejected by the Kosovars, though they did indicate they would accept a transitional status short of full independence.
But they acknowledge that many of the Kosovars might choose to apply for asylum, which would allow them to remain in the United States.
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