Tensions and fears are running high in Switzerland, as the deadline to strike a trade agreement with the U.S. looms just days away.

Without a deal, Switzerland faces 39% duties on its goods imported into the U.S., after it was hit with one of the highest new tariff rates under U.S. President Donald Trump's latest trade policy shift last week. The higher duty surprised many, as widespread reports had previously suggested a trade agreement was near, and was just missing Trump's signature.

Over the weekend, reports emerged that the higher tariffs followed a disagreeable Thursday phone call between Swiss President Karin Keller-Sutter and Trump — which Swiss officials rejected, according to Reuters . When asked by CNBC for comment, a spokesperson for the Swiss government pointed to Keller

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