The president and the Chancellor met days after both the United States and the European Union imposed new sanctions on key political and business figures around President Vladimir Putin.
The measures followed the failure of a deal brokered in Geneva to de-escalate tensions in Ukraine and the refusal of Russia to rein in pro-Moscow separatist groups in southeastern Ukraine.
So far, the sanctions adopted by either side have been limited to personal visa and asset bans against prominent people in Putin's inner circle, branded "cronies" by the White House.
Such a scenario would entail a tough political choice for European leaders like Merkel, who are under intense pressure from powerful business interests dismayed at the potential loss of important markets and investments in Russia.
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Yesterday, White House spokesman Jay Carney denied Washington and the EU had butted heads over possible new sanctions.
"There has been a great deal of collaboration and cooperation in that effort between the United States and the EU, as well as all the members of the G7, so we expect that effort to continue," he said.
Carney added that the United States and EU members each have "a different kind of economic relationship with Russia, and so sanctions will affect different nations differently."
After their talks Merkel and Obama will hold a press conference in the Rose Garden of the White House, the site of a sumptuous state dinner hosted by the US leader for his guest three years ago.
Since then, relations between Berlin and Washington have been hit by the continuing damaging fallout over revelations of National Security Agency (NSA) spying in Germany, including the tapping of Merkel's mobile phone, which the US says has now been stopped.