Daniil Medvedev is through to round three at the Indian Wells Masters ©Getty Images

Playing as a neutral, Daniil Medvedev recorded a straight-sets win over Tomas Machac in his first game as men's tennis' new world number one.

Medvedev broke the Czech player three times en route to a 6-3, 6-2 victory and a place in the third round of the Indian Wells Masters.

Frenchman Gaël Monfils is next up for Medvedev in California, following a 6-3, 6-4 triumph over Serbia's Filip Krajinović.

Medvedev is able to play as a neutral, following a ruling from the International Tennis Federation, Association of Tennis Professionals and Women's Tennis Association to allow players from Russia and Belarus to compete sans the nations' names and flags.

The highest-ranked player in the women's draw, Aryna Sabalenka, was also playing as a neutral, and was dumped out by Jasmine Paolini in a major shock.

The Italian fought back to earn the first top-10 win of her career, triumphing 2-6, 6-3, 6-3.

"I played an amazing match," Paolini, who entered the top 50 of the women's rankings for the first time this year, said.

Jasmine Paolini earned a first career win over a top-10 player ©Getty Images
Jasmine Paolini earned a first career win over a top-10 player ©Getty Images

"I tried to be there, to be focused every point. 

"Yeah, I'm so happy I beat Sabalenka. 

"She's a great player."

Estonia's Anett Kontaveit and Greek Maria Sakkari, respectively seeded fourth and sixth, both enjoyed straight-sets victories to reach round three.

Petra Kvitová, a two-time Grand Slam winner from the Czech Republic, came from behind to defeat neutral Aliaksandra Sasnovich 6-7, 6-4, 6-4 and set up a meeting with Sakkari.

Naomi Osaka was eliminated, however, going down 6-0, 6-4 against neutral Veronika Kudermetova.

Osaka is a four-time Grand Slam champion and former winner at the Indian Wells Tennis Garden, but has dropped down the rankings and was convincingly outplayed by Kudermetova.

The Japanese star was emotional at the conclusion of the match and unhappy with comments which had been made by spectators.

In the men's event, 20-time Grand Slam singles champion Rafael Nadal needed three sets to beat Sebastian Korda.

The young American had 11 break points across the match, but took only four.

It finished 6-2, 1-6, 7-6 to Spaniard Nadal, who won the deciding tiebreak 7-3.

Top-10 seeds Casper Ruud and Jannik Sinner - respectively from Norway and Italy - won in straight sets, while fifth seed Stefanos Tsitsipas of Greece needed all three to overcome American Jack Sock.