UPDATE 10:17 a.m. EST:
Obama said he does not "feel responsible for what Trump says or does" when asked if his election was a repudiation of his worldview. He added that he believes much of America agrees with his worldview.
UPDATE 10:13 a.m. EST:
Obama said the time may be right for "durable" Greek debt relief, which the nation has been seeking for years.
He also praised the nation's commitment to spending 2 percent of its gross domestic product on defense, as per NATO terms.
When asked whether the U.S. election was comparable to Brexit, he said globalization, technology and social media had contributed to similar populist uprisings, but did not call them equivalent.
His comments on NATO hearkened to Donald Trump's discussion of NATO.
UPDATE 9:35 a.m.: Greek prime minister Alexis Tsipras praised Obama's support.
President Obama arrived in Greece Tuesday morning, marking the beginning of his final foreign tour as president.
This is the first time a sitting U.S. president has visited Greece since Bill Clinton in 1999.
President-elect Donald Trump is expected to be a key topic of discussion, as Obama tries to convince Greece that Trump won't abandon key alliances like NATO. Obama will spend two days in Greece talking to dignitaries and giving a speech on democracy and globalization.
Obama confirmed Trump's commitment to NATO in a speech Tuesday morning.
WATCH | Here's how it looked when Obama landed.
Many Greeks remember the U.S.-backed military dictatorship from 1967 to 1974, which is marked by a protest march to the U.S. Embassy every Nov. 17 that frequently turns violent. However, the past few years have muted some of distaste for the United States.
Left-wing and anarchist groups have planned protests for Tuesday afternoon during Obama's visit, prompting Athens to deploy 5,000 police. The Greek government said the visit was of "huge importance."
What does Greece want out of all this?
Mostly, a bailout. Greece has been in a financial crisis for years, and wants its debtors (like Germany) to relieve some of the burden.
Greece is also home to more than 60,000 refugees stranded dafter Balkan states closed their land borders. Hundreds of thousands of refugees also passed through Greece, most of them on their way to Europe. Amnesty International urged Obama to "shine the spotlight on... abysmal conditions" and "the failure of world leaders."
The Associated Press contributed to this report.