The American came from a set down for the third straight match in Rome against Mirra Andreeva, and also held off a furious comeback by the teenager.
Gauff nearly lost a 5-1 third-set lead but won anyway, 4-6, 6-2, 6-4.
The Italian sent the home crowd into a frenzy with a 1-6, 7-6(10), 6-0 victory.
Alcaraz stars alongside A'ja Wilson and Kylian Mbappé in the magazine's first-ever dedicated global sports issue.
Rublev came from a set and a break down to win 3-6, 7-6(5), 6-2 and move on to face Jannik Sinner.
The Romanian, who has said she plans to retire at the end of the season, is through to the semifinals in Rome for the first time.
Plus, Elena Rybakina and Elina Svitolina clash in the quarterfinals, as rising star Rafael Jodar faces home favorite Luciano Darderi.
Into the quarterfinals at the Internazionali BNL d'Italia despite now being outside the Top 20, the Norwegian is feeling good about his form.
The world No. 1 has won his last 26 matches this season, easing through to end his countryman’s career-best week.
On Monday, Jodar is projected to overtake Joao Fonseca as the highest-ranked teenager on the ATP Tour following another terrific debut on the ATP Masters 1000 stage. The 19-year-old has backed up his ...
After beating the Belgian in the semifinals in Madrid, Zverev dropped just five games in the third round in Rome.
During his first interview after being released from prison, tennis great recalled the moment the door of his single-occupancy cell at Britain’s notorious Wandsworth prison closed.