"I don't think he heard the question" posed by Merkel when she suggested they shake hands, in full view of press cameras, spokesman Sean Spicer told German weekly Der Spiegel published today.
The quote was translated into English from Der Spiegel's online German website.
The veteran German chancellor had arrived for her first meeting with Trump at a snowy White House hoping to reverse a chill in relations after Trump's incendiary election rhetoric, in which he called Merkel's acceptance of refugees a "catastrophic mistake" and suggested she was "ruining Germany."
German media pointed to the incident as another marker of the meeting's general icy mood between the cautious German chancellor and impulsive US president.
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In a frequently awkward joint press conference in the East Room, Trump and Merkel showed little common ground as they addressed a host of thorny issues including NATO, defense spending and free trade deals.
Today, Germany's biggest-selling daily Bild said that throughout the White House meeting, not once did Trump look her in the eye.