Panama came from behind three times to draw with Qatar, while Honduras swept aside Grenada 4-0 in their opening CONCACAF Gold Cup matches on Tuesday.
In a tight game in Houston, six goals were scored in the second half as 2022 World Cup hosts Qatar hit the lead three times but failed to capitalise.
Panama's Rolando Blackburn levelled the game twice in a flurry of goals in the first 20 minutes after half-time, as Hassan Al Heidos put Qatar up 3-2 from the spot in the 63rd minute. Eric Davis equalised with a 79th-minute penalty.
Honduras dominated Grenada in the later game, with goals from Jerry Bengtson, Edwin Solano, Johnny Leveron and Romell Quioto.
Panama and Honduras will meet on Saturday in Houston after Grenada and Qatar face off at the same venue.