Alcaraz is through to the second week at Roland-Garros for the first time and will take on No.21 seed Karen Khachanov for a spot in the quarter-finals.
Khachanov battled against British No.10 seed Cameron Norrie for three hours and 37 minutes before wrapping up a 6-2, 7-5, 5-7, 6-4 victory.
Rafa books Felix fourth round
No.5 seed Rafael Nadal continued his assault on a record-extending 14th Roland-Garros title with a 6-3, 6-3, 6-2 victory over Dutch No.26 seed Botic van de Zandschulp in the third round at Roland-Garros on Friday.
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With French football icon Zinedine Zidane in attendance, the 21-time major champion picked up his 301st Grand Slam match-win to set up a last-16 showdown with Felix Auger-Aliassime, who is coached by Nadal's uncle and former coach Toni Nadal.
This will be the first time Nadal will face Auger-Aliassime since he teamed up with Toni.
"I already talked with Toni after my match. For me it's very simple. He's my uncle. I don't think he will be able to want me to lose, without a doubt, but he's a professional and he's with another player," Nadal said during his press conference.
"I don't know what's gonna happen, if he's gonna stay in the box or not, but I don't care. I have zero problem with that. So it's not a story at all for me. I know what's the feelings that we have between each other.
"I know he wants the best for me. Now he's helping another player. But honestly, for me, it's zero problem, and I know he wants the best for me."