In , Pappas went 17–7 with a 2.77 earned run average, his best full-season ERA since his 2.60 in 1965, his last year in Baltimore. On September 2 of that year, at Wrigley Field, Pappas no-hit the San Diego Padres 8–0. He retired the first 26 batters and was one strike away from a perfect game with a 2–2 count on pinch-hitter Larry Stahl, but home-plate umpire Bruce Froemming called the next two pitches — both of which were close — balls. Pappas believed he had struck out Stahl, and even decades later in 2008, he continued to begrudge Froemming. Some 25 years later, a Chicago radio personality, during an interview with Pappas, got Froemming on the phone and the two argued on the air. Pappas also said in 2006 that he has seen videotape footage of that game on WGN and can see Froemming smirking immediately after the walk was issued; Froemming denied the charge.