The United States drew level with the Internationals after edging the Presidents Cup fourballs on Friday.
The 33-year-old Furyk was three strokes clear in the U.S. Open.
Tiger Woods withstood a late challenge from Jim Furyk to secure his 50th career title at the Buick Open.
Exactly a year after becoming a father for the first time, Tommy Fleetwood made his Ryder Cup debut look like child's play as he posted two vital points alongside British Open champion Francesco Molinari at Le Golf National on Friday.
American Webb Simpson clinched his first major title with a nerve-jangling one-shot victory at the 112th US Open after overhauling overnight leaders Jim Furyk and Graeme McDowell.
Jack Nicklaus will compete with Tiger Woods and Phil Mickelson in a Skins Game on the eve of this week's Memorial tournament, organisers said on Tuesday.
Tournament host Tiger Woods has announced a strong field featuring five of the world's top 10 players for the year-ending Chevron World Challenge.
After dropping just one bogey in 36 holes, Arjun Atwal gave away no less than three in the third round to slip to tied third position from top at the McGladrey Classic golf tournament in St Simons Island, USA.
India's Arjun Atwal carded eight birdies and a lone bogey to rocket into a one-shot lead over Davis Love III and Jim Furyk after Friday's second round of the McGladrey Classic at Sea Island in Georgia.
Tiger Woods sprang a surprise at Augusta National on Sunday when he turned up without notice to play the back nine at the US Masters venue with his good friend and long-time mentor Mark O'Meara.
The former world number one has not won a major in four years but the omens are good this time. Of the nine previous times Woods has led a major at the halfway state, he has gone on to win eight.
Tiger Woods's winning streak was snapped on Monday when Australian Geoff Ogilvy kept his nerve to win the WGC-CA Championship.
Tiger Woods double-bogeyed the final hole to surrender a share of the lead in the Target World Challenge.
The Americans secured places in next month's British Open following the Western Open on Sunday.
Fiji's Vijay Singh ran down Sergio Garcia then outlasted Garcia and Jim Furyk in a three-way playoff to win the Wachovia title.
Triumphant European Ryder Cup captain Thomas Bjorn said his 12 players had made his job an "easy one" during a weekend in which they comprehensively outplayed the United States in France.
Anirban Lahiri made his second successive cut on the PGA Tour.
With Europe leading 10-6, US captain Furyk could at least draw strength from the knowledge that the same deficit has twice been overturned on Sundays in recent times -- by the US in 1999 and Europe in 2012.
Summary of sports events and persons who made news on Monday
The pairings were announced at Thursday's opening ceremony in bright, late afternoon sunshine at the course just outside Paris as France proudly hosts the event for the first time.
American Jason Dufner erased memories of his heart-breaking late collapse two years ago when he clinched his first major title by two shots in the 95th PGA Championship on Sunday.
Swede David Lingmerth, ranked 212th in the world, took down Justin Rose in a playoff to claim the Memorial Tournament.
What set Le Golf National apart, however, was the unrivalled viewing experience for the fans -- most spectacularly the 7,000-capacity grandstand looming over the first tee.
Mickelson conceded the hole after firing his tee shot into the water with Molinari on the green to leave the Italian as the first European to win all five matches in a week -- having not won any of his previous six.
The winds of change were blowing at the U.S. Open on Sunday as Brooks Koepka sailed to a four-stroke victory at Erin Hills, making it the seventh consecutive major that has crowned a first-time winner.
Spaniard Miguel Angel Jimenez took the clubhouse lead on three under par and Tiger Woods ground out a second-round 71 to stay right in the mix on a congested British Open leaderboard on Friday.
The 21-year-old Indian's performance at the World Golf Championships has made the golfing world sit up and take notice.
Anirban Lahiri, coming in after a short break following events in Europe, was hit by back spasms early in his first round as he carded a 77 in the World Golf Championships-Invitational in Akron, Ohio, United States.
Captain Fantastic Paul McGinley hailed "a great team performance" after Europe crushed the US in the Ryder Cup foursomes for the second day running to gallop into a commanding 10-6 lead on Saturday.
Phil Mickelson rolled in an 18-foot birdie putt in fading light at the 18th hole to grab a share of the lead in Friday's second round of the U.S. Open when play was suspended due to approaching darkness.
World No. 40 Anirban Lahiri will be a part of the International Team, which will take on United States in the biennial Presidents Cup in Korea.
Nearly every player who has lifted a club at the Ryder Cup has described that moment standing on the first tee as one of the most nervous of their professional lives.
The Ryder Cup delivered high drama yet again as Europe produced a stirring fightback to win three of the foursomes matches against the United States and take a 5-3 lead after a tense and hugely entertaining first day on Friday.
Europe maintained their Ryder Cup stranglehold over the United States with a crushing five-point victory on Sunday as rookie Jamie Donaldson had the honour of securing the decisive point to make it eight wins in the last 10 matches.
US Open champion Martin Kaymer sank an eight-foot birdie putt at the first extra hole to beat Bubba Watson in the four-man PGA Grand Slam of Golf in Bermuda on Wednesday.