The fifth seed had led by two sets on Monday but Simon grabbed the third set before fading light ended play.
Djokovic had to play that fourth round on Tuesday and quarter-final on Wednesday when he was forced to retire against Tomas Berdych with an elbow injury. So, too, is 19-year-old Denis Shapovalov of Canada.
The Swiss maestro swept away his opponent Adrian Manarinno in three sets, but it was a nonchalant flow of the racket in the third set which caught the eyes of willow-lovers.
"I feel like these streaks just happen", he said.
World No. 1 Rafael Nadal is realistic about who he wants to face should he reach the Wimbledon final this year.
By contrast, eight-time champion Federer, and Nadal, the title victor on two occasions, have played exclusively on the 15,000-seater Centre Court.
"It was crucial for him to stay in the match at the beginning of the second set and then it got tougher", said 20-time major victor Federer.
To claim Djokovic is back to his 12-time Grand Slam winning best would be a tad premature, but the 31-year-old Serb is certainly showing signs of getting closer to it. And in the pressure cooker of Centre Court on Saturday, he dismissed Edmund in four sets - silencing the crowd with a display of true grit.
Baby Jesus 'held in detention' during church immigration protest
The large exhibit is in the front lawn of the church - and it's guaranteed to get a lot of attention. The church set up the caged nativity scene Monday night as part of its #EveryFamilyIsHoly campaign.
He eventually finished off world number 53 Simon in the match's third tiebreak to move into his second Wimbledon quarter-final where twice champion Nadal is waiting.
But in a simply stunning two years since, the grand master has lost just seven of 88 matches and taken his record title haul to a magical 20 slams.
Tendulkar has confessed on many occasions that he is a fan of Federer and is a regular at the All England Club when The Championships are held. Also Simona Halep's conqueror, Su-Wei Hsieh, was defeated 6-4 6-1 by Dominika Cibulkova. "I've been in this position and situation before many times".
"It was ridiculous what happened there".
Serena, who was ranked No.25 coming into the tournament after taking an extended leave to give birth, breezed past another mother on tour, Evgeniya Rodina, in two straight sets after the loss of just four games - 6-2 6-2, in just 64 minutes. "After she was complaining, they were talking in Chinese, whatever language".
"I'm going to have to really take it to him. I probably won't have another 6-0 set this week, so I'll enjoy this one".
Former Wimbledon finalist Angelique Kerber stepped up her bid to return to the title match with a 6-3, 7-6 (7/5) win against Switzerland's Belinda Bencic.
(11) Angelique Kerber bt. Kerber was the runner-up at the All England Club in 2016, while 14th-seeded Kasatkina is in the last eight for the first time.