The world number three and reigning Wimbledon champion eased through 6-1, 6-2, 6-1 against Wolf, the 107th-ranked player who entered the main draw as a 'lucky loser' from qualifying.

Alcaraz, who made the semi-finals in 2023 where he was defeated by Novak Djokovic, took his first-round record at the majors to 13-0. The Spaniard next faces Britain's Jack Draper or Dutch qualifier Jesper de Jong.

Alcaraz showed no sign of suffering from the right arm injury which sidelined him from the Rome Open as he coasted to victory on the back of 27 winners and nine breaks of serve.

"I don't need too many matches to be at my best," said Alcaraz.

"I only played four times in Madrid. Of course, I'd have loved to have played more but I don't need many to be at 100 per cent.

"I have practised with a lot of top players in Paris this week and the forearm is feeling better and better."

Wolf arrived in Paris with just one win on tour all year but he surprised Alcaraz by breaking in the first game.

However, that was as good as it got for the 25-year-old as Alcaraz swept the next eight games, setting the tone for the match, before the American managed to hold serve for the first time in the third game of the second set.

Even closing the roof at the end of the second set was of no help to the hapless Wolf who has still to defeat a top-10 player in his career.