UCLA men's soccer had the opportunity to play against the likes of Jozy Altidore and Clint Dempsey.
Edwards Jr. was selected by Orlando City SC and Simmons was selected by the Philadelphia Union.
Senior midfielder Leo Stolz was selected 18th overall by the New York Red Bulls on Thursday.
Stolz earned his second Player of the Year award for the 2014 season on Tuesday.
Leo Stolz is the third UCLA Men's Soccer player to earn the National Player of the Year award.