The 13-time Grand Slam title victor has now won 21 of his last 24 matches after a rollercoaster start to 2018 which saw him go 6-6. "I'll take it as a good experience and look forward to the next event".
The halt in proceedings came 63 minutes into the opening set, after Wawrinka saved a Nadal set point for 5-all, with the Spaniard then holding serve for 6-5.
It was a masterclass in Toronto, where world number one Nadal came out on top 7-5 7-6 (7-4) after more than two hours of scintillating tennis.
Djokovic returns today to meet Canadian Peter Polansky.
In second round play, Grigor Dimitrov survived a lengthy rain delay to turn away Fernando Verdasco in a final set breaker and in the early morning hours Marin Cilic got past countryman Borna Coric also in three.
Third seed Juan Martin del Potro of Argentina pulled out of the tournament prior to his second-round clash with The Netherlands' Robin Haase, citing a left wrist injury. "I've known him, I've practised with him, but I've never played an official match so definitely not easy to find a rhythm from the beginning of the match", said Djokovic.
German second seed Alexander Zverev, the victor last week in Washington, beat American Bradley Klahn 6-4 6-4 while fourth-seeded South African Kevin Anderson edged Russia's Evgeny Donskoy 4-6 6-2 7-6 (7-0).
"It is one match, I know I have to learn from it", the fourth-seeded Kerber said.
"But the crowd on the grand stand, I think they helped me a lot because it was so ecstatic, it was so energetic because it's so compact and it actually bothered Fognini quite a bit, especially toward the end".
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Canada's Daniel Nestor, the oldest player at the tournament at 45, was scheduled to play a first-round doubles match in the late afternoon.
The Swiss player was originally given a qualifying spot in Toronto, but advanced to the main draw when former No. 1 Andy Murray withdrew.
Top-seeded Simona Halep of Romania trailed Anastasia Pavlyuchenkova of Russian Federation 4-3 when rain forced the suspension of play for the day.
U.S. Open champion Sloane Stephens, seeded third, routed local favorite Francoise Abanda 6-0, 6-2.
"I've had plenty of success in Toronto and Montreal, and I wanted to start off well", said Djokovic.
"Wimbledon is definitely the most well-known tennis tournament in the world and the one that I always dreamt of winning so it was a true blast".
Sharapova next faces another Frenchwoman Caroline Garcia, who is ranked sixth in the world.
Defending champion Elina Svitolina of Ukraine, seeded fifth, led Mihaela Buzarnescu 6-3, 6-7 (5-7), 4-3 when the Romanian retired because of an ankle injury.