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The World No 1 defeated the Italian 6-2, 6-1.
Swiatek defeated Coco Gauff 6-2, 6-4 while Paolini downed Andreeva 6-3, 6-1.
Second seed Sinner kept his hopes of taking Djokovic's top ranking alive with a battling 2-6 6-3 6-2 6-1 win over local favourite Corentin Moutet.
Andrey Rublev became the highest men's seed to crash out at Roland Garros.
The defending champion Swiatek saved a match point in a high-voltage second-round match.
The title was the 21st of Swiatek's career as the world No.1 extended her unbeaten run to 12 matches on clay to sound out a warning to her rivals ahead of the French Open.
Victory improved Swiatek's record over her Belarusian rival to 7-3 as the three-time French Open champion bagged the only major claycourt title that was missing on her glittering resume.
Alcaraz became the first man to defend a championship in the California desert since Novak Djokovic won three straight between 2014 and 2016.
Sakkari got the better of US Open champion Coco Gauff in a hard-fought second semifinal.
Third seed Coco Gauff served up 17 double faults but still managed to beat China's Yuan Yue 6-4, 6-3 to reach the women's semifinals in the Californian desert for the first time.
Results 11-20 of 58
