WIMBLEDON, England -- Last year's Wimbledon men's finalists both advanced to the second round on the opening day of this year's tournament.
"It's a sacred court, the cradle of our sport for sure," four-time Wimbledon champion Djokovic said in the tunnel after walking off the grass. "It has a very special place in my heart, in my career as well.
"I've been blessed to be very successful on this court over the years so every time I step on it memories come back and a great feeling."
Djokovic started the match in a hole, with Kohlschreiber breaking in the top-seeded Serb's opening service game. But the troubles ended there for Djokovic, who had lost to Kohlschreiber in Indian Wells on a hard court this year.
"I know that he's capable to play some really good quality tennis on various surfaces, especially on grass," Djokovic said. "He takes the ball early, has a good slice, good serve. So it was good test for me."
Fourth-seeded Kevin Anderson, who lost to Djokovic in straight sets in last year's final, moved into the second round by beating Pierre-Hugues Herbert of France 6-3, 6-4, 6-2 in only his third match since March.
"Different expectations coming in right now given that I've not played many matches this year," said Anderson, a South African who also reached the 2017 U.S. Open final. "But I think there's a lot of positives I can take from today, and hopefully I'll be able to keep building on that."
Stan Wawrinka, seeded 22nd, also advanced. The three-time Grand Slam singles champion, who has won each of the other three majors but never Wimbledon, defeated Belgian qualifier Ruben Bemelmans 6-3, 6-2, 6-2.
Wawrinka, who will next face tall American Reilly Opelka in the second round, has never been past the quarterfinals at the All England Club.
"I think for sure some tough years here by losing first or second round. I had two good years by making quarterfinals," Wawrinka said. "I do believe that this year I'm playing well, I playing the best I never played on grass court. For sure I am having a tough next match."
The 21-year-old Opelka, who is 6-foot-11 (2.11 meters), beat Cedrik-Marcel Stebe of Germany 6-3, 7-6 (4), 6-1.
Tsitsipas, who beat Federer at the Australian Open en route to the semifinals, saved two match points in the fourth-set tiebreaker and failed to convert three break points early in the fifth. Fabbiano broke Tsitsipas twice in the final set, including in the last game when the Greek popped a shot long.
It was Fabbiano's first win over a top-10 player.
Information from the Associated Press was used in this report.