Aiming for a major scalp, Edmund instead succumbed 6-3 6-4 and had to settle for words of praise from his conqueror as his day's reward.
Wawrinka claimed the only break of the opening set in the eighth game, and then looked set to steam through the second after striking first for a 2-0 lead.
But Edmund, the 21-year-old from Beverley in East Yorkshire, made a fight of the contest by reeling off the next three games, bringing the set back on serve and showing Wawrinka he would need to step up his game again.
The US Open champion rose to the challenge in the ninth game, and then fended off three break points in the next to seal victory with a sliced backhand winner into the corner. Edmund, at full stretch on the forehand, was unable to put the ball back into play.
Wawrinka, who dismissed talk of him being a possible future world number one, said he had been wary about facing Edmund, who entered the world's top 50 this week.
"I saw him play the last few days. This year I've seen he's been playing really well recently," Wawrinka said.
"I was expecting a really tough match because he's improving a lot."
Wawrinka added on Sky Sports: "He's a dangerous player.
"I'm really happy with the way I controlled the match more or less with my game. There were a lot of positives for me."
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