Just before leaving Washington, D.C., Friday, President Trump hiked tariffs on Chinese imports and threatened to force American companies to leave China.
Video of Emmanuel Macron's top security aide beating demonstrators has sparked controversy. The incident occurred during May Day protests over reforms to France's labor laws.
The leaders spoke to reporters at the White House after meetings on Friday in which Merkel was expected to echo many of the concerns about foreign policy raised by French President Macron.
State dinners are a chance for first ladies to express their tastes and make a statement. But historically these diplomatic dinners have had their share of mishaps.
The show of opposition to President Macron's proposed labor law overhaul is seen as the first major test for the recently elected leader. In Paris, there were clashes between protesters and police.
Entrenched politicians have been swept aside, and fringe candidates and untested newcomers have filled the void. Four front-runners lead the field of 11 in Sunday's first round of voting.