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Davies, who has developed into one of the world's top left-backs at age 19, blew past Nelson Semedo on the left wing before pulling back for Joshua Kimmich to tap home andmake it 5-2 in the 63rd minute.
Kimmich said after the gamehe was "almost ashamed of how happy I was after the goal, because it was 99 per cent, of course, Davies' goal."
Speaking ahead of Wednesday's semi-final match against Lyon,Boateng added to the chorus of praise for his team's young star.
"I just say wow about his solo run!" Boateng said. "That was world class. About his development? I don't think there are such young talents often. He's exploded, I'm happy.
"He's also super likeable off the pitch and a down-to-earth boy. He still has so much potential. We can still expect a lot from him, he will be even better."
Boateng, however, has underlined the differences between the two matches.
"I think they were two different games," the 31-year-old said."The game against Brazil was different, we didn't control as much as we did against Barcelona.
"We got a boost inconfidence after the game against Brazil, but afterwards you saw that the final against Argentina was different. It wasn't a particularly nice game for the spectators, there were few chances.
"We have to know now that the next game is always the most difficult. Lyon is not in the semi-finals for nothing."
Boatengadded that he's happy to seetwo German teams and two French sides in the Champions League semi-finals, but cautioned against drawing any major conclusions with PSG and RB Leipzig set to face off in the other final-four tie.
"It's a snapshot, you can't always explain it," the defender said."You can't say that another league is suddenly weaker. But I believe that it is an indication that good work is being done in Germany. Not only here, but also in Leipzig, Dortmund or Leverkusen, for example. That makes me happy.