The opening-round match lasted 11 hours, 5 minutes and took place over three days.
Melichar and Peschke will play the victor of the second semifinal between No. 3 seeds Barbora Krejcikova and Katerina Siniakova of the Czech Republic and the unseeded pair of Alicja Rosolska of Poland and Abigail Spears of the U.S. The Swiss was heading into the meeting as a favourite, he had not lost any set in his first four matches of the tournament.
When it was all done and dusted, there were no wild roars, no fist pumping and no raised arms in celebration - all Anderson had left in him was to give Isner a sympathetic hug after he came out on top in the second longest match ever contested at the All England Club.
He finally broke the 33-year-old American in the 49th game of the decider after coming close in a couple of earlier games and looked impassive as he held his nerve to secure victory.
If Kevin Anderson was facing John Isner in the first week of Wimbledon, it's hard to imagine it being played any higher than Court 18 and yet the big-serving duo thrashed it out on Centre Court in the semi-finals.
In April, John Isner won his first career ATP World Masters 1000 title at the Miami Open. Isner in particularly started to appear tired at the set wore on.
That inconsistency was eliminated in an absorbing final set before Anderson produced a moment of magic.
Isner did, however, break the record of the most serves at a tournament - beating Goran Ivanisevic's 213 on his way to the Wimbledon back in 2001. He made it 0-30 in that game by winning a point after falling on his back behind the baseline but still got up in time to return Isner's shot. Djokovic owns 12 Slam trophies, three from Wimbledon.
Nadal and Djokovic will battle for Sunday's final on the same court at 4pm.