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.
The core of the problem is that the two countries are no longer equals.
The two countries have also agreed to work together to resolve their land border dispute.
Their conflict did not last long, but the two countries remain bitterly at odds.
The U.N. estimates that 60 million people could be at risk across the two countries.
It should offer to initiate diplomatic relations, with the two countries exchanging small missions.
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This comes with the offer of a brand-new 10-year defence deal between the two countries.
Last December, the two countries promised, perhaps perfidiously, to stop supporting each other's rebels.
The two countries never signed a peace treaty after an armistice ended their 1950-53 conflict.
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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Just as the two countries prepare for their presidents to meet, bickering has broken out.
Some of those clashes have turned violent and created some diplomatic tension between the two countries.
They're doing business with China, though the two countries still have economic and trade disputes.
Since our intervention in 2006, the two countries have progressed dramatically towards greater sovereignty.
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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The new China-Russia partnership aims to bind the two countries in the energy field.
Mr Lew said the two countries should "work together to reduce barriers to trade and investment".
And business between the two countries, despite their closed border, is growing daily, via Georgia.
Certainly to continue the important discussions that the two Presidents and the two countries have.
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