Simona Halep overcame a second set hiccup to overcome Coco Gauff in straight sets and advance to the quarterfinals of the Madrid Open.Halep has now won all six sets she's contested against the American teenage sensation, improving her head-to-head to 3-0.Simona Halep vs Coco Gauff ScoreSimona Halep beat Coco Gauff 6-4, 6-4.WTA Insider@WTA_insiderSimona Halep tallies her 30th win in Madrid, defeating Coco Gauff 64 64 to advance to the quarterfinals. The only tournaments at which Halep has won more main draw matches are Australian Open (31) and Roland Garros (31). #MMOPEN28629Simona Halep tallies her 30th win in Madrid, defeating Coco Gauff 64 64 to advance to the quarterfinals. The only tournaments at which Halep has won more main draw matches are Australian Open (31) and Roland Garros (31). #MMOPEN https://t.co/Gr1FWZ33qySimona Halep vs Coco Gauff WinnerSimona Halep's win over Coco Gauff marked her 30th main-draw match victory in Madrid. The Romanian also got her first claycourt win over Gauff and will face Ons Jabeur in the quarterfinals.#MMOPEN@MutuaMadridOpen match winsTwo-time champion @Simona_Halep reaches a magic milestone at the #MMOPEN222373⃣0⃣ match winsTwo-time champion 🇷🇴 @Simona_Halep reaches a magic milestone at the #MMOPEN https://t.co/67RMpCqJZKSimona Halep vs Coco Gauff RecapHalep kept her composure in crucial moments as Gauff stumbled, coughing up 30 unforced errors to help the Romanian's cause.To make matters worse, Gauff chalked up six double faults as Halep raced to victory.#MMOPEN@MutuaMadridOpenWinning is in her DNA! @Simona_Halep defeats Coco Gauff (6-4, 6-4) to return to the #MMOPEN quarters after three years away.13416Winning is in her DNA! 💪💪🇷🇴 @Simona_Halep defeats Coco Gauff (6-4, 6-4) to return to the #MMOPEN quarters after three years away. https://t.co/HtAdbXFQvUHalep took control of a tight first set by breaking Gauff in the ninth game as the American served up an untimely double fault. The Romanian did not face a break point in the opener as she held serve to win the first set 6-4.But it wasn't as easy for the Romanian in the second set as Gauff stepped up her game and broke with a forehand winner to jump to a 2-0 lead. Gauff held her serve at love, capping it with an ace to go 3-0 up in just 12 minutes.#MMOPEN@MutuaMadridOpenShe's on fire! @Simona_Halep clinches the opening set vs Gauff (6-4). On her way to the quarterfinals?#MMOPEN13516She's on fire! 🔥🔥🔥🇷🇴 @Simona_Halep clinches the opening set vs Gauff (6-4). On her way to the quarterfinals?#MMOPEN https://t.co/5VzC6FGJluBut errors crept into Gauff's game, especially on the backhand wing, that allowed Halep to get a foothold in the set. Gauff nearly gave away her advantage as she double faulted to hand Halep a break point. But the American struck back-to-back aces to maintain her lead at 4-1.After a comfortable hold by Halep, Gauff raced to a 40-0 lead on her own serve, but threw in three double faults to give Halep the break back.Halep, seeking her third title in the tournament after winning in 2016 and 2017, displayed steely resolve as she won nine of 10 points to draw level at 4-4.Four miscues on Gauff's forehand handed Halep another break before the Romanian held serve to take the victory.