Singles wins for Alexander Zverev and Roger Federer - over John Isner and Nick Kyrgios respectively - earlier in the day had Team Europe firmly in control, as they took a 7-1 lead before the evening matches.
Anderson shocked the tennis world last night exacting revenge for his Wimbledon final defeat earlier in the year by beating Djokovic 7-6 (7-5) 5-7 10-6, showcasing not only his relentless power from the baseline but also his mental toughness which has seen the South African reach two Grand Slam finals in the past year.
Zverev had to grind out his win against American John Isner, the 21-year-old being forced to save a match point before ultimately prevailing 3-6, 7-6 (6), 10-7.
Team Europe will now head into Day 2 with 3-1 lead after Grigor Dimitrov, Kyle Edmund and David Goffin pulled off singles win against Frances Tiafoe, Jack Sock and Diego Schwartzman respectively to make it 3-0 for Europe.
The Laver Cup is a three-day indoor hard court men's tennis tournament between Team Europe and Team World.
Roger Federer and Novak Djokovic failed to make the scoreline 4-0 in Team Europe's favour
"Yeah, [Federer and Djokovic] is obviously going to be a legendary team", said Jack Sock, who will partner Kevin Anderson to face the former world No. 1s on Friday.
Click on the video above to listen in on what Federer had to say to Djokovic.
Sock, Nick Kyrgios, John Isner, Tiafoe, Anderson and Schwartzman are representing Team World.The event is named in honour of tennis legend Rod Laver, who won a record 200 singles titles, 11 Grand Slams and five Davis Cups for Australia.
So far at the Laver Cup this week, it has just been a whole lot of photo opportunities-mostly of players in mismatched suits.
The Europe captain has sent Federer out for the opening two matches on the final day in Chicago. If the players split sets, they go straight to a 10-point tiebreaker. "Saved match points. So I'm really happy to give one point to Team Europe".
5 questions after reading the Rod Rosenstein bombshell report
Bromwich, a lawyer for McCabe, told the Times his client "has no knowledge of how any member of the media obtained those memos". Rosenstein responded to the story in a statement: "The New York Times's story is inaccurate and factually incorrect ".
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