NEW YORK, NY, USA - No.5 seed Elina Svitolina surged into the second week of the US Open for the third straight year in emphatic fashion, knocking out countrywoman and No.32 seed Dayana Yastremska, 6-2, 6-0.

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"It was a really solid performance, I thought, for me," she said after the match. "I didn't give many unforced errors.

"She's a good player and can strike the ball very good, so I had to stay really focused from the beginning. For me, was important to stay solid from the baseline, then take my chance, which happened."

Svitolina moves within one win of completing a boxed set of Grand Slam quarterfinal appearances - having reached the semifinals of Wimbledon earlier this summer - and played decisive tennis to dispatch her teenaged rival after 53 minutes on Louis Armstrong Stadium.

Both born in Odessa, the Ukrainians were both excited by the prospect of one of their own making the second week at the USTA Billie Jean King National Tennis Center.

"IIt is always tricky because I think it's a different nerves. Each time you step on the court in a Grand Slam, everyone has nerves.

"But I think when you playing someone from the same country, and in our case from the same city, which is special, you have to handle it, you have to try to really be, I don't know, just within yourself.

Svitolina, who was fresh off a quality win over five-time Wimbledon champion Venus Williams, ultimately enjoyed the better start, winning the first two games at love as Yastremska struggled to reign in her powerful game.

"She needs more experience in these kind of matches, so that's why it happened my way today."

The No.5 seed held off her teenaged opposition when she engineered two break points, and served out the opening set on her third chance.

Svitolina only got stronger in a second set that took just over 20 minutes, racing through without allowing Yastremska either a game or break point, booking her spot in the fourth round.

In all, she was just too strong for her young opponent, striking seven winners to just 13 unforced errors, while Yastremska ended the match with 36 unforced errors and a 0 for 2 break point conversion rate.

"I feel good now. I'm enjoying playing on the court. Enjoying atmosphere maybe little bit more. I have little bit less pressure now. That's maybe what's changed.

"I've been playing on Armstrong as last year a lot, as well. That's nice. I like that court. I think I haven't lost a match on that court yet. I have a perfect record!"

Standing between Svitolina and her first US Open quarterfinal is 2017 finalist Madison Keys, who won the all-American battle on Arthur Ashe Stadium over No.20 seed Sofia Kenin in a rematch of their Western & Southern Open semifinal.

"I think it's going to be another big challenge for me. Each time I play against her, it's a tough battle. I have to prepare well. For me important just to stay focused on what I have to do on the court.

"It's fourth round, so I have to enjoy and be ready for her big shots."

Svitolina and Keys faced off at the US Open two years ago, where the American rallied from a break down in the third to advance.