South American football expert Tim Vickery felt a typical Paraguayan spirit shone through on the day.
“Paraguay love adversity,” he said.
“If you’re looking for someone to relate to in this World Cup, look for Paraguay. That Welsh word ‘hwyl’, that grit and drive, when it gets difficult, that’s when they come alive.
“They’ve come through adversity to knock out a giant of European football. It’s not always pretty, they play within their limitations, but what drama, what a story.
“The objective in this tournament was to make Paraguay feel represented and they’ve done that in full.”
Paraguay now play either two-time champions France or Sweden iin Philadelphia on Saturday (22:00 BST).
Paraguay’s president Santiago Pena had already declared a public holiday after they had sealed World Cup qualification with a game to spare.
Now, with a place in the last 16 secured, attention turns to what he might have in store next for the celebrations.
Head coach Alfaro said he spoken to the president yesterday.
“He might declare another national holiday,” he joked.
“I want all of Paraguay to enjoy this. We may have our defects, but we have a heart that never gives up, and that’s what keeps us alive.”