The deals have not been signed yet, and the Padres have not confirmed the signings.
Perez, 16, has a power arm, can throw in the mid-90s and also offers a slider and changeup that he's starting to use more often in games. Some scouts have questioned his ability to consistently repeat his delivery given all its moving parts, and others express some concern about his command issues, which could eventually land him in the bullpen.
But Perez, listed at 6-foot-4 and 190 pounds, was still one of the top international pitchers available on the market, and some scouts believe he can be an effective starter given his repertoire.
Asuncion, also 16 years old, is a right-handed-hitting outfielder from Santo Domingo. He isn't listed among MLB.com's top 30 international prospects, but at 6-foot-3 and 180 pounds, he projects well physically and possesses impressive raw power.
Adam Berry is a reporter for MLB.com. Follow him on Twitter at @adamdberry. This story was not subject to the approval of Major League Baseball or its clubs.