"I like your tiara - very smart," Harry told the reporter.
Bernardita Middleton, a television reporter with a morning show on Chile's Channel 13, replied: "I am a Middleton, like Princess Kate. I be your next wife Haaaaaary." The Prince giggled sheepishly before moving swiftly on.
Prince Harry's elder brother Prince William is married to Kate Middleton.
Middleton is not an uncommon name in Chile, thanks to immigrants who evidently have many descendants.
Prince Harry laid a wreath at a monument to the country's founder Bernardo O'Higgins, himself the son of an Irish immigrant, among other engagements of his tour.