The grouping termed the talks as a "unique" opportunity as it encouraged all stakeholders to reach a prompt solution.
The heads of European Mission in Nepal expressed their support and encouragement for efforts to resolve the "current difficulties affecting the supply and distribution of humanitarian supplies" in the country amid a blockade of a key border trade point with India by protesters.
As Nepali people continue to suffer with shortage of essentials including fuel and cooking gas in the month of their main festival 'Vijaya Dashami' due to the blockade in the southern border, the European Union expressed sympathy and support.
"The ongoing talks represent a unique opportunity to make progress in this direction and the Heads of Mission encourage all involved to take advantage of it in a spirit of responsibility and compromise," reads the statement.
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Noting that the urgently needed essential goods for the adaptation of temporary shelters to earthquake victims have been obstructed, the EU said the effects of this situation are most heavily felt by the poorest segments of the population, including in the Terai region bordering India.
"The lack of basic goods is taking a heavy toll on the economy of Nepal, where recent earthquakes have pushed an additional 3.5 per cent of the population under the poverty line, according to the estimates of the Post-Disaster Needs.