In the last stop of an international farewell tour that included visits to Greece and Germany, Obama continued his efforts to calm anxieties since Republican businessman Trump beat Democratic rival and former Secretary of State Hillary Clinton in the US presidential race.
"My main message to you ... and the message I delivered in Europe is don't just assume the worst," Obama told a group of young people during a question-and-answer session in Peru on Saturday.
"Wait until the administration is in place, it's actually putting its policies together, and then you can make your judgments as to whether or not it's consistent with the international community's interest in living in peace and prosperity together."
Anti-Trump protests continue with sporadic violence
Trump won the election after promising to build a wall on the US border with Mexico, rip up trade deals and ban Muslims temporarily from entering the United States.
Obama has sought to soothe fears by pledging to ensure a smooth transition of power and expressing optimism that the president-elect would shift away from inflammatory campaign rhetoric once he faced the realities of the job.
"It will be important for everybody around the world to not make immediate judgments but give this new president-elect a chance to put their team together, to examine the issues, to determine what their policies will be, because as I've always said, how you campaign isn’t always the same as how you govern," Obama said.
But Obama has couched his assurances largely in hopeful language that Trump's team would see the merits of policies that Democrats championed despite Trump's pledged to dismantle them, from the Iran nuclear deal to an international pact to fight climate change. And the president, who campaigned vigorously for Clinton and showed visible disdain for Trump before his victory, has offset his words of reassurance with subtle digs at his successor by emphasizing themes of democratic values in Europe and Peru that Trump has been criticized for ignoring.
"You’re seeing some countries that are going backwards rather than forwards in terms of freedom of the press, in terms of freedom of the Internet, in terms of respecting political opposition and civil society," Obama said on Saturday.
Trump barred some news organisations from covering events during his campaign and threatened during a televised debate to jail Clinton for her use of a private email server while secretary of state.
Gentlemanly transition: Obama, Trump share White House hopes
Though Obama came on his trip able to assure European countries that Trump would respect US commitments to NATO, his other assurances, including for Latin American policy, seemed based more on optimism than knowledge of Trump's plans.
"With respect to Latin America, I don't anticipate major changes in policy from the new administration," he said, citing trade as a key exception.
Trump announced hawkish picks for attorney general, national security adviser, and CIA director on Friday that suggests he is setting up his administration to take a hard line confronting Islamist militancy and curbing illegal immigration.
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