She did make it to the final in Monterrey at the start of April before losing to Anastasia Pavlyuchenkova, but that remains her best performance of the season.
"I'm happy that I managed to play, to be kind of composed out there", Muguruza said afterward. "I think after the U.S. Open, I will ask to myself what I want to do". I think I just have to earn that confidence here.
The Australian teenager made light of the 300-plus ranking places separating them to push the 11th seeded Dane to three sets.
Muguruza stepped her game up and took 14 consecutive points to seal the first set 6-2.
With Agassi seated in the stands, generally expressionless during the match and silent afterward, the No. 2-seeded Djokovic was not always at his clean-swinging best while beating Marcel Granollers 6-3, 6-4, 6-2 on Monday to begin the defense of the title that allowed him to complete a career Grand Slam at Roland Garros a year ago.
Despite the defeat, Fourlis walked off to a standing ovation.
Staying on the men's side of things, fifth seed Milos Raonic cruised through to the second round with a straight-sets dismissal of Belgium's Steve Darcis, but Jack Sock became the first major casualty as he went down to the Czech Republic's Jiri Vesely, also in straight sets. His reward? - a first round match against Croatian seventh seed Marin Cilic.
Elsewhere on the opening day, Venus Williams battled past China's Wang Qiang with a 6-4 7-6 (7-3) victory.
Simona Halep, the Romanian who is regarded as the leading contender, was asked for her opinion on who the favourites are for the second Grand Slam of the year.
Rafael Nadal launched his quest for a record 10th French Open title with a 6-1, 6-4, 6-1 win over Frenchman Benoit Paire on Monday.
Steve Johnson of the United States held off a valiant comeback from Yuichi Sugita to reach the second round when their match resumed at Roland Garros.
They are a big club that has had a change and now needs someone who can organise: someone who has been at a big club. Jonny Hayes had given the Dons the lead before Stuart Armstrong levelled nearly immediately.
Sampaoli leaves Sevilla having guided them to the top four but, for much of the season, this was a campaign that promised more. Right now Argentina is fifth with 22 points behind Brasil (33), Colombia (24), Uruguay (23) and Chile (23).
In 2014, South Korean officials discovered what they described as several North Korean drones that had flown across the border. South Korea's Joint Chiefs of Staff said in a text message that the military is analyzing the flight path of the said object.
The only way Indonesia can progress into the last eight stage is if they thrash Denmark on Wednesday, which looks unlikely. Denmark, which won six matches and lost four, topped the group, followed by India (5-5) and Indonesia (4-6).
China claims nearly the entire South China Sea , a key shipping lane that is believed to be rich in mineral and marine resources. At the same time , China can never represent Taiwan at the negotiations with regard to the South China Sea , he added.
His Maryland lawyers are appealing in both state and federal court on the same grounds, and a hearing is set for next month. Jackson vacated Malvo's sentenced and remanded the case to Spotsylvania County Circuit Court for appropriate sentencing.
Investigators also worked with regional and western news outlets and non-government organizations active in the area, he said. The current U.S. strategy of isolating ISIS inside cities such as Mosul and Raqqa can place civilians at additional risk.
French President Emmanuel Macron praised President Donald Trump's "capacity to listen" and his "intention to progress with us". President Donald Trump says he'll make a final decision next week on whether the USA will stay in the Paris climate agreement.
The opposition-led National Assembly wants a referendum asking Venezuelans if they approve of Maduro's constituent assembly plan. Maduro has accused the opposition of "terrorism", and is resisting their calls for a vote on removing him from power.
Police officials believe the man meant to attack officers, but he was taken into custody before ever drawing or pointing a gun. However, this did not seem to occur on Thursday, with the armed man slipping through into the convention while fully armed.
House intel Dem would review Kushner's clearance
Trump, meanwhile, resumed his Twitter postings from the White House on Sunday and dismissed any story based on anonymous sources. On that topic, Trump tweeted Sunday night: "I suggest that we add more dollars to Healthcare and make it the best anywhere".
Diego Costa says he won't go to China, only to Atletico
"The first goal should never have been allowed", he said of Alexis Sanchez's controversial opener for Arsenal at Wembley . Poor defending from the usually imperious N'golo Kante Arsenal's Olivier Giroud to tee up Ramsey for the winning goal.
Trump delays decision on Paris climate accord
The delay from the U.S.is being seen as an area for concern for advocates of global action to confront climate change . Clearly, for Trump now to violate a major campaign promise and stick with the Paris agreement would be a huge mistake.
GOP Montana win may be blip in Democrats' anti-Trump hopes
Three Montana news publications withdrew their endorsements, and even House Speaker Paul Ryan condemned Gianforte's actions. Still, Republicans now have to answer for the fact that one of their own elected officials is now facing assault charges.
Manchester Bombing Investigation Leads to Additional Arrests
Members of the public gather to attend a candlelit vigil to honor the victims of Monday evening's terror attack in Manchester . All the previous arrests were made in and around Manchester where the suicide bombing took place on Monday night.
Ohio children allegedly shot by mother die in hospital
A mother who is accused of shooting two of her children told police that she did it to save them from the "evils of the world". At the time of the shootings, an investigation was open and active against Helton by Montgomery County Children Services.
DJI's New $499 Spark Drone Looks Fun as Hell
That raises the Spark's top speed to up to 31 miles per hour , and sets the camera gimbal to first-person view (FPV). Preset flight sequences such as circling and spiralling shots help to make Spark easier for the novice drone pilot.
Memorial Day an occasion of remembrance
And if you can't make it to the cemetery, take a moment to remember and take a moment of silence at 3 p.m. on Memorial Day. Of course, putting aside one day does not do justice to all those who have bravely fought throughout history.
Fox News finds itself in unaccustomed spot _ out of first
Anderson Cooper led the way for CNN, winning his 8 p.m. slot for "AC 360" for five straight days last week over Fox and MSNBC. More revelations about Flynn followed, along with the naming of a special prosecutor for the Russian investigation.
China sidesteps Duterte claim of war threat over sea row
For his part, Senator Paolo Benigno "Bam" Aquino that such threat of war from the Chinese President is definitely troublesome. On a state visit to China a year ago , Duterte announced the Philippines' "separation" from the United States .
441kW Jaguar XE SV Project 8 revealed
However, here it has been tuned for 592bhp - an increase of 25bhp - making it the most powerful Jaguar to ever hit the road. I'm a little surprised they went with the XE for this one, but I'm also excited to see just how insane they can make it.
Taiwan court rules same-sex marriage ban is unconstitutional
The ruling Democratic Progressive Party that swept national elections in the self-ruled island previous year supported the change. In Thailand, activists said it would provoke redoubled effort to get the military-ruled country to legalize gay marriage.