Diplomatic and trade relations between the two countries now ride on the fate of the extradition bill.
Venezuela's foreign minister said the meeting would "derail" good relations between the two countries.
Relations between the two countries have been strained, most recently over the conflict in Syria.
The recent talks were intended to help rebuild trust and cooperation between the two countries.
This comes with the offer of a brand-new 10-year defence deal between the two countries.
Trade between the two countries has been growing steadily, and is relatively evenly balanced.
On Tuesday the friendship between the two countries will be lavishly celebrated in Berlin.
Normally, these concerns would be addressed at twice-a-year migration meetings between the two countries.
Then there was the long-running dispute between the two countries last winter over unpaid gas bills.
So my hope is that conversations will be taking place between the two countries.
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The difference is in the background stucture, the differences in that structure between the two countries.
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The existing 84-year-old Ambassador Bridge is the busiest commercial link between the two countries.
In several places the line between the two countries is set at the watershed.
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And business between the two countries, despite their closed border, is growing daily, via Georgia.
The fifth member would be appointed by agreement between the two countries following the same criteria.
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It isn't the first time that diplomatic tensions have surged between the two countries.
The visit comes in the backdrop of recent tense relations between the two countries.
Since the start of the Bush administration, relations between the two countries have worsened.
Tensions between the two countries over North Korea's nuclear programme were beginning to ease.
Relations between the two countries have stabilised, but the lack of trust remains deep.
Relations between the two countries have been strained over their support for opposing sides in Afghanistan.
The following year, short visits for one-day competitions were sanctioned between the two countries.
The US complaint is the latest in a series of trade disputes between the two countries.
The general's trip came as economic activity between the two countries is picking up.
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There have been limited cultural interactions between the two countries over the last few years.
As in policy, so in personality: the resemblance between the two countries is easy to exaggerate.
In June, they opened the border between the two countries for the first time since 1980.
Correspondents say relations between the two countries have been more fractious than usual in recent months.
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Powell said the agreements "testify to the new dynamic" of the relationship between the two countries.
His trip to Washington comes at a crucial time for relations between the two countries.
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