Bedoya will definitely miss the Union's June 3 game at New York City FC. Medunjanin could too, but it's not official yet.
The Union's Derrick Jones played all 90 minutes in a 1-1 tie with Saudi Arabia, but he and key defender Cameron Carter-Vickers will be suspended for the round of 16.
Andre Blake made seven saves, but that wasn't enough in a 1-0 loss.
They play Real Salt Lake, which has never lost to the Union.
Saturday, 8 p.m., Rio Tinto Stadium, Salt Lake City, Utah.
Records: Union, 4-4-4, 16 points; RSL, 3-8-2, 11 points.
Though the margin was just the minimum, there was a full serving of drama in the game.
The Americans will play at Sweden on Thursday, June 8 and at Norway on Sunday, June 11.
The center back is coming off shoulder surgery and has resumed full contact in practice.
Here's your viewer's guide to this season's TV coverage of the UEFA Champions League and Europa League, the CONCACAF Champions League and national team games from those confederations.
Here's your viewer's guide to Fox's long-anticipated coverage of Germany's Bundesliga.
The Southwest Philadelphia-bred midfielder has seized headlines with a big performance at the under-20 World Cup.
For the first time in its history, the Union's Talen Energy Stadium will play host to a friendly game between two clubs without the Union on the field.
She will miss the U.S. women's team's upcoming trip to Europe. Her projected return to the field is just days before a summer tournament with Australia, Brazil and Japan.
Riding a four-game winning streak, the Union is showing that it's not the same team that went winless for its first eight games.
The midfielder helped save the U.S. from an embarrassing defeat.