Padilla was 0 for 1 in the 1994 Baseball World Cup, backing up Omar Linares at third base. In the 1995 Intercontinental Cup, he went 2 for 12 while backing up Pacheco. He was 1 for 4 in the 1995 Pan American Games. He played six innings in five games as a defensive sub for Pacheco in the 1996 Olympics and singled in his lone at-bat, scoring a run. He was with Cuba for game two of the 1999 Baltimore Orioles – Cuban national baseball team exhibition series.