Never before has a final in London lasted so long - it went into the twelfth game of the fifth set and then into the tiebreak.
The 37-year-old eight-time champion now meets defending champion Novak Djokovic in the Grand Slam final.
The most captivating modern rivalry in men's tennis returns to the scene of its most dramatic episode when Roger Federer and Rafael Nadal meet for a place in the Wimbledon final.
Federer and Nadal each won their quarter-finals to set up an epic semi-final between the two, whilst world number 1 Djokovic will face Bautista Agut for a place in the final.
Two-time defending champion Rafael Nadal remains on course for a record 12th French Open men's singles title after beating quarter-final opponent Kei Nishikori in straight sets.
Switzerland's tennis star Roger Federer, a four-time finalist in Rome, returns to Italy after skipping the clay season for the last two years as he concentrated on his grass game.
Tsitsipas had never won a set in his previous three meetings against claycourt specialist and 11-times French Open champion Nadal, but the Greek drew first blood by saving a break point to hold in the 10th game and take the first set.
Federer, who won the last of his Indian Wells titles two years ago but lost in 2018 final, used his backhand slice to keep Gojowczk from gaining any rhythm in the first set.
Swiss player Roger Federer overcomes Stefanos Tsitsipas 6-4 6-4 in Dubai final.
The 20-time Grand Slam champion Roger Federer set up a title match against 20-year-old Greek Stefanos Tsitsipas by defeating Borna Coric 6-2, 6-2 in just 67 minutes in the semi-finals of the ATP event.
Roger Federer moved to within two wins of a 100th career title after coming through a tough test in difficult conditions against Marton Fucsovics to reach the Dubai Championships semi-finals.
Roger Federer was challenged by Fernando Verdasco before defeating the Spanish veteran 6-3 3-6 6-3, reaching the quarter-finals of the Dubai Duty Free Tennis Championships.
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