While former US president Barack Obama had labelled Merkel his "closest international partner", there has been little known contact between the German leader and Trump since he took office.
Trump's criticism of Germany over issues ranging from its record trade surplus to Merkel's liberal refugee stance, as well as his backing for Britain to leave the European Union, have not gone unnoticed in Berlin.
A month after US Vice President Mike Pence delivered a message to Europe underscoring the importance of transatlantic ties, Tuesday's meeting will be scrutinised for clues on whether Trump fully endorses that message.
"I will of course point out that for us, our country and our membership in the European Union are two sides of the same coin," Merkel said in Brussels ahead of the visit.
The Washington meeting would also allow for "an exchange of bilateral and international topics, and transatlantic ties, as we have always stressed, are very important," added Merkel's spokeswoman Ulrike Demmer.
As in other similar tours, Merkel will be accompanied by an army of business leaders, but this time the delegation faces an uncertain reception as Trump preaches an "America First" policy.
Krueger will also be keen to persuade Trump, who has singled out BMW for hefty tariffs if it built a factory in Mexico, to reconsider the threat.
But "if the government is serious about its new tax, the chancellery has already prepared a series of retaliatory measures," said Der Spiegel.
Juergen Hardt, the German government's US coordinator, said Merkel will sound a clear warning against protectionism, and press Washington to keep working towards a free trade deal with the EU.
While Merkel is a firm believer in the European Union and globalisation, Trump cheers Britain's departure from the EU and scrapped the TPP free trade deal in his first days in office.
The two also differ on immigration policies -- she slammed his ban on citizens from mainly-Muslim countries, while he criticised as "catastrophic" her liberal refugee stance that led more than a million asylum-seekers into Germany.
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