Klopas' swan song with the U.S. team came the following year when he was named to the roster for the 1995 Copa América. He would appear in five of the team's six games and scored the first goal in a 3–0 shocker over Argentina on July 14, 1995, one of the biggest upsets in U.S. Soccer history. He also scored the game-winning goal in the penalty shootout against Mexico in the quarterfinals three days later. Just over a year after being knocked out of the World Cup, the Brazilians were once again responsible for the U.S. team's exit, sending them to a 1–0 semifinal defeat on July 20 in Maldonado, Uruguay. Klopas played in the team's final two friendlies that year, with his final appearance for the U.S. coming as an 80th-minute substitute for Tab Ramos in a 4–3 win over Saudi Arabia on October 8, 1995 in Washington, D.C.