Both players got tense in the fourth set, with Dimitrov broken while serving for the match and Kyrgios smashing an easy overhead into the net on a break point.
Dimitrov and Edmund have met twice before.
As for the matches themselves, did Kyrgios cross the line with his ranting in the direction of his player box?
Seppi dominated the tie break, biding his time before producing two backhand winners to take the first set, during which Edmund had made 23 errors to Seppi's five. Regarding Dimitrov, is he finally ready to fully deliver on his enormous talent?
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But Edmund genuinely believes he can go one better after beating Italy's Andreas Seppi 6-7 7-5 6-2 6-3 to set up a quarter-final clash tomorrow with third seeded Bulgarian Grigor Dimitrov. The pod team were hugely impressed.
While Seppi, who was also trying to reach a Grand Slam quarterfinal for the first time, was holding serve easily, the 23-year-old Edmund saved five break points in the eighth game, coming up with some big serves when he needed them.
Not only has he gone one better than Murray managed previous year, he is the first Great Britain player to make the last eight since John Lloyd in 1985, outside of our absent former world No 1. But it wasn't until he barrelled down a second-serve, 187kph ace - his 25th - at the start of the third that Edmund went ahead in the match for the first time.
Edmund broke him in the eighth game, aced him for the 26th time as her served for the match and, playing big shots all the way to the end, finished it with another big serve wide to the forehand side. He has really good behaviour, sometimes he could get his hair cut a bit more - we say that in Sweden when everything is too nice. "I played well. He played well. Hopefully next match I can do better still".
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Arsenal are interested and Dortmund seem willing to sell, despite Aubameyang enjoying yet another fine season in Germany. Dortmund's England Under-19 star Jadon Sancho hit the post in the second-half as both sides played out a goalless draw.
However, with Murray out of action for the next few months, Edmund could replace him as British number one before he returns in the summer.
Seppi saved three break points at 1-1 in the fourth set and then had treatment on his right shoulder after the following game. If you don't believe in what you're doing, then you need to start doing what makes you happy or change it or start believing it.
"I thought he actually came out very well and timed the ball well, dictating probably more points than I was".
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Cilic, who defeated Pablo Carreno Busta 6-7 (2/7) 6-3 7-6 (7/0) 7-6 (7/3), reached his second grand slam final at Wimbledon last season and has set himself lofty goals for 2018. "It's my best result at a slam".
The fourth set was a tighter affair with Seppi calling for the trainer to treat a shoulder issue - something Edmund had done during the first set - and appeared rejuvenated, finding some extra weight behind his groundstrokes and serves.
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Baker said he planned to request that the judge assigned to the case sentence Boucher to probation and not prison. Boucher has admitted to the assault, Minkler said, but has denied it was politically motivated.