Fulham are keeping tabs on the Colombia international and Schmid said: "He's been very good for the most part.
"I think he had a couple of phases when he drifted away a little bit in terms of his being able to have success and score goals. But I think also, as the season has gone on, that he has really matured.
"One thing I liked about his performance in D.C. is something a lot of people maybe didn't notice. He got fouled three times in the first 11 minutes of the game. He didn't lose his composure. He didn't react to any of that. He kept plugging away. I thought it was a very mature performance."
Schmid said he thinks Montero will eventually take his game to Europe, though he still has work to do first.
"I think it is in his future," Schmid told the Seattle Post Intelligencer. "I still think there's got to be advancements that he's got to make in his game. I think he knows that as well.
"It's great that we have players that people talk about in that context of being able to go to Europe. On the same token, we have got to focus on this season and not worry about any of those things as it deals with any player. If we have success as a team, people are going to look at why we are having success and individual players are going to get attention and notoriety."