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Goals from Moussa Sissoko and Son Heung-min secured the win, with the visitorsreduced to 10 men in the latter stages of the game.
Dasilva was shown a straight red card for a dangerous challenge onHojbjerg which left the midfielder bleeding from several parts of his shin.
Spurs head coach Jose Mourinho was left shocked by the damage causedbut refused to condemn the Brentford striker in his post-match interview.
"It was for sure a bad tackle because he is bleeding a lot and the shin pad is broken," said Mourinho.
"That is football. Dasilva is a young guy and a good player so in the heat of the game there is nothing to be critical of."
Dasilva took to social media after the game to defend his character, writing on Twitter:"Anyone that knows me, knows it was never intentional... will learn from this."
Hojbjerg attempted to put the midfielder's mind at ease in his response to the post, giving a positive update on his condition before wishing him well for the future.
"Of course you didn’t mean it. So don’t worry. I’m a Viking and I am fine. But... you owe me a new shin pad," the Tottenham star wrote.
"You have a great future ahead. Be strong andkeep working hard. Best of luck to you and your team. Big hug, Pierre-Emile Hojbjerg."