Trump said he was 'looking forward to dealing with the president in the future', while Obama claimed he was 'very encouraged by the interest in President-elect Trump to work with my team'.
But even to the untrained eye it was clear there was some tension, and body language expert Patti Wood has analyzed the first meeting between the most powerful man in America and the person chosen to replace him.
Obama was 'extremely fatigued, resigned and not hopeful', while Trump was 'tentative, serious and perhaps fearful', Wood told DailyMail.com.